Mathematics Middle School

how many cube shaped boxes with 12-inch edges can fit into a box that is 4 feet tall 4 feet long and 5 feet wide
A-20
B-27
C-68
D-80

Answers

Answer 1
the answer is d because you would take 4 x 4 x 5 and then you divide and you get 80
Answer 2

Dimensions of bigger box = 4ft x 4ft x 5ft

or, 48 in x 48 in x 60 in     (Because 1 ft = 12 inch)

We know that, volume of a cuboid is:

V = length x breadth x height

Volumeo f big box = 48 x 48 x 60

= 138240 cubic inch.

Edge length of cube shape box = 12 inch

For cube, volume = edge^3

Volume of cube = (12)^3

= 1728 cubic inch

Number of cube shaped box that can fit into big box = Volume of big box / Volume of cube shaped box

= 138240 / 1728

= 80

Hence, correct answer is D-80.

Related Questions

What is 10and 1/9 +7and5/6

Answers

Hey there!

First, let's add the whole numbers . . .

10 + 7 = 17

-----------------------------------------------------
Finding the LCD ...

1/9 = 2/18

5/6 = 15/18

2 + 15 = 17

(If both denominators are the same, then they stay the same in the total fraction)

= 17/18

17 + 17/18 = 17 17/18 ←

The correct answer is 17 17/18

10 1/9 + 7 5/6 = 17 17/18

I hope this helps you.
Have a great day! :)

How does the volume of a cylinder change when its diameter is quadrupled?

Answers

If the radius of a cylinder is x, and the height is y, then the volume of the cylinder will be x²yπ. If every thing is quadrupled then it will be 4x and 4y, Therefore it will become (4x)²4yπ. This simplifies to 16x²4yπ, and then even further to 64x²yπ. Excluding the 64, that is the same as the original equation, so we now know that the coefficient of volume increase is 64, so the volume is 64 times greater. By the way, if you know the scale factor of change, the volume change will always be the scale factor change cubed. For area, or surface area it will be the scale factor squared. I hope this helps.

When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.

When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.

The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.

If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.

Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.

Substituting the new radius into the volume formula, we get:

Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]

New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]

We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].

So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.

10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width 
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

what is the position of D on the number line below?

write your answer a fraction or mixed number

Answers

The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.

The position of 'D' on the number line represents the location of a particular point labeled as 'D.'

According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.

On a typical number line, the center bottom perpendicular hash mark often represents zero.

If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.

For more such questions on number line, click on:

https://brainly.com/question/27269280

#SPJ2

The probable question may be:

What is the position of D below?

(3.) Would you be able to tell how much temperature rose since 6 A.M? Why or why not?

Answers

hmm since it only rose one degree then went down 6 id say around -5* (star is supposivly the degree sign)

Please Help!! Will pick brainliest!

Answers

small circle 2/4 = 1/2 and the big circle is 3/5 i hope this is correct. im truly sorry if this was wrong

What is the value of x in the triangle ?

Answers

142.33 should be correct.

Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.

Answers

Continuously compounding formula is given by:
A=Pe^(rn)
where:
A=future value
P=principle
r=rate
n=number of terms
From the information given:
P=$5500, r=8%, n=6 years
thus
A=5500e^(0.08×6)
A=5500e^(0.48)
A=$8888.41
The balance would be $8888.41

gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?

Answers

She needs 40cups to make 10 loaves

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.

13(1/3) can be written as,

= 13(1/3)

= 40/3

Each loaf requires 3 and four-fifths cups of flour.

This can be written as,

3(4/5) cups of flour = 1 loaf

19/5 cups of flour = 1 loaf

Multiply 5/19 on both sides.

1 cup of flour = 5/19 loaf

Multiply 40/3 on both sides.

40/3 cups of flour = 40/3 x 5/19 loaf

40/3 cups of flour = 3.5 loaf

This means we can make 4 loaves.

Thus,

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

Learn more about unit rates here:

brainly.com/question/11258929

#SPJ2

complete quesrtion:

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread

Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points

Answers

1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: [tex]A=wl[/tex]
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches

Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area 
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
[tex]h[/tex] is the height 
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches 

Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.

2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.


The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates? A) A'(5,6), B'(1,3), C'(6,1) B) A'(6,5), B'(3,1), C'(1,6) C) A'(5,5), B'(5,1), C'(5,6) D) A'(5,4), B'(5,7), C'(5,6)

Answers

the answer is B i just did it

Answer:

The answer is B.

Step-by-step explanation:

I took the benchmark too.

Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]

[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]

[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]

[tex] \sqrt[3]{x} = 11[/tex]

Please explain how you got your answer(s), thanks!

Answers

the first one: x is 3 because 3 x 3 x 3 is 27
the second one: x is 1/64 because the denominator, 4, to the power of 3 is 64. Anything rad 1 will always be 1, ∛64 is 4.
the third one: x is 1/8 because 8 x 8 x 8 which is the same thing as 8^3 is 512.
∛1/512 (1 divided or multiplied by 1 is always going to be 1) 
the fourth one: x is 1331, I know this because I did, 11 x 11 x 11 to get 1331.
Let me know if this doesn't make sense 

Which is not a factor of 56? A. 4 B. 8 C. 14 D. 26

Answers

Divide each by 56. If you get a number with a decimal that’s your answer
26 is not a factor of 56

Find the volume of this triangular prism. Dimensions are in inches

Answers

This prism is the half of rectangular prism, so first find the volume of rectangular prism then divide it by 2 and you'll get the volume of this triangular prism: (12x16x10)/2=960in^3
Volume=l×w×h

12×16=192 (l×w)

192×10=1,920in=volume

how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]

Answers

[tex]2x^2-6x-1=0\ \ \ |:2\\\\x^2-3x-\dfrac{1}{2}=0\\\\x^2-2\cdot x\cdot\dfrac{3}{2}+\left(\dfrac{3}{2}\right)^2-\left(\dfrac{3}{2}\right)^2-\dfrac{1}{2}\\\\=\left(x-\dfrac{3}{2}\right)^2-\dfrac{9}{4}-\dfrac{2}{4}=0\\\\\left(x-\dfrac{3}{2}\right)^2-\dfrac{11}{4}=0\ \ \ \ |+\dfrac{11}{4}\\\\\left(x-\dfrac{3}{2}\right)^2=\dfrac{11}{4}\iff x-\dfrac{3}{2}=\pm\sqrt{\dfrac{11}{4}}\\\\x-\dfrac{3}{2}=-\dfrac{\sqrt{11}}{2}\ \vee\ x-\dfrac{3}{2}=\dfrac{\sqrt{11}}{2}\ \  \ \ |+\dfrac{3}{2}\\\\x=\dfrac{3-\sqrt{11}}{2}\ \vee\ \dfrac{3+\sqrt{11}}{2}[/tex]


[tex]Used:\ (a-b)^2=a^2-2ab+b^2[/tex]

Need help please, pt 4 Thanks!

Answers

Hello,
Please, see the attached files.
Thanks.

Mrs. Thomas is preparing a lunch for a group of students.

A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.

How many cans of juice will Mrs. Thomas need to buy?

Answers

Volume for a cylinder- V= πr^2h (pi multiplied by r squared times h)

V=π4^2(11)
V= (approximately) 552.92 cm cubed

5100/552.92= (approximately) 9.2 cans

To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.

To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.

We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.

Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.

the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?

Answers

Final answer:

The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.

Explanation:

Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).

First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.

The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.

To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.

Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.

Learn more about Energy Consumption here:

https://brainly.com/question/16025398

#SPJ11

use (r,16) to solve y=2x-4

Answers

(x,y) = (r,16)

With this knowledge, plug in r for x, and 16 for y

16 = 2(r) - 4

Isolate the r, add 4 to both sides

16 (+4) = 2r - 4 (+4)

20 = 2r

Divide 2 from both sides

20/2 = 2r/2

r = 20/2

r = 10

hope this helps

If the radius of the compass is 14 millimeters, what is the
 approximate area of the compass? 
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2

Answers

we know that
area of a circle=pi*r²
for r=14 mm
area=pi*14²----> 615.44 mm²

the answer is
615.44 mm²

Given the figure below, find the values of x and z.

Answers

[tex](13x-85)^o=97^o\\\\13x-85=97\ \ \ |+85\\\\13x=182\ \ \ |:13\\\\x=14[/tex]

[tex]z^o+97^o=180^o\ \ \ |-97^o\\\\z^o=83^o[/tex]

Answer: x = 14; z = 83

Answer:

x = 14; z = 83 hope this helps u


The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

Answers

let
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV

we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1

x/y=16/9------>x=(16/9)*y-----> equation 2

substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6

the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm


Nick gets out of school at 2:25pm he has a 16 minute ride home on the bus next he goes on s 30 minute bike ride then he spends 55 minutes doing homework at what time does nick finish his homework

Answers

Hi there! The answer is 4:06 pm.

Nick gets out of school at 2:25 pm.
He has a 16 minute ride home on the bus, so he'll arrive at home at 2:41 pm.

Next, he goes on a 30 minute bike ride, which will start at 2:41 pm. and thus and at 3:11 pm. 

Then he spends 55 minutes doing homework, which starts at 3:11 pm. and will end at 4:06 pm.

The answer is 4:06 pm.
~Hope this helps you!

Emilio borrows $1200 from a bank with 8% simple interest per year. How much interest will he have to pay back in 2 years?

Answers

Simple Interest equation is I=p×r×t
P= is the principal amount (1200)
R= is the interest rate per year (8% or 0.08)
T= time in years (2)

I= 1200 × 0.08 × 2= 192.00

Interest is 192.00

The interest per year on the amount of money that Emillio borrowed  from the bank at the rate of 8% interest is $192

Interest can be regarded as the charges that is added to the principal, usually some percentage of the principal.Principal is the amount of money that is been lent out.Rate can be regarded as the percentage increase of the principal.Time (t) can be regarded as the period that is needed to pay the money that was lent out back.

were were given rate (r) as[tex]8% = 0.08[/tex]%with[tex]interest (I)[/tex]as ?[tex]principal (P)= $1200[/tex]

From the the formula for expressing

[tex]simple interest [ I= prt][/tex]

[tex]P= principal \\ I= interest\\ r= rate[/tex]Then substitute into the formula[tex]I= (1200 * 0.08 * 2)[/tex]

[tex]= 192.00[/tex]

Therefore, the interest on the money is $192

Learn more at:   https://brainly.com/question/22621039?referrer=searchResults

The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2

Answers

you would do 
3.14*r^2 
which is 3
r=3
what you do is 
3.14*3*3 which is 28.26cm^2 which is D

Answer:

D: 28.26

Step-by-step explanation:

Use the graph of f (x) to find the solutions to the equation f (x) = 0.

A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions

Answers

The graph intersects y = 0 at x = 2 and x = -6, so the answer is B.

The graph of f(x) have two solution: x= -6, 2.

What is Solution of function?

To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.

For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.

To find the solution of f(x) at f(x) = 0.

we need to focus on the the points where the graph cuts the x axis.

This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.

Now, from seeing the function have two solutions.

Thus, the solution of the f(x) is -6 and 2.

Learn more about solution of function here:

https://brainly.com/question/13873089

#SPJ3

find the difference. express your answer in simplest form. (4r/s) - (r/s)

Answers

your answer would be 4 because r/s - r/s would be 0 so you have 4 left hope this helps you!!!!
For this case we have the following expression:
 (4r / s) - (r / s)
 We observe that we have the term r / s in the whole expression.
 Therefore, we can draw common factor.
 Rewriting we have:
 (r / s) * (4-1)
 (r / s) * (3)
 3 (r / s)
 Answer:
 the difference is:
 3 (r / s)

major help and if you can, please explain how you got your answer

Answers

The correct answer is:  [A]:  " 384 in² " .
_______________________________________________________

Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________

             →   A   =   6a²  ;
______________________________________________________             →   in which:  
______________________________________________________
                            A  =  surface area of the cube— for which we shall solve ; 
                                               (in "square units" ; or, " in² " ; in our case) ; 

                            a = side length = " 8 in " (given); 
    
   →  Note:  A cube has all equal side lengths.

   →  The "6" in the formula accounts for "6 sides" of a cube.

_______________________________________________________

→  To solve for the surface area of the cube; plug in our known value(s);
                &  solve;  as follows:
_______________________________________________________
                          →  A  =  6 a²  ;

                                    =  6 * (8 in)²  ;

                                    =  6 * 8² * in² ;

                                    =  6 * 8 * 8 * in² ; 

                                    =  48 * 8 * in² ; 

                                    =  384  in²  ;
_______________________________________________________
The answer is:  " 384 in² " ;  

→  which is:  Answer choice:  [A]:  " 384 in² " .
_______________________________________________________

Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.

Answers

b. 
because 2/5=.4
12/25=.48
6/15=.4
18/45=.4
The answer would be answer choice B

let f(x)=2x^2-3x+8.what is the value of f(-4)?

Answers

 f(x)=2x²- 3x + 8

f(-4) = 2(-4)² - 3(-4) + 8 = 52

Answer: 52
Other Questions
How do cultural ideas about maleness and femaleness (masculine and feminine qualities) interact with ideas about language? You can consider everything from dialect speech and gender to ideas about male and female roles in the family or on the job and how this affects language usage. Gwens doctor discovers that Gwen has reduced visual acuity. Gwens doctor performs a procedure called , which detects the eyes refractive error using an instrument called the . Determine y for the following equation: log(9/8)=y I have a question about the Columbian Exchange. What impact did Old World animals have on the Americas? Is a form of social organization in which the mother is the head of the family, and which descent is reckoned in the female line? please help! i dont understand this.a 25 gram sample substance that's used for drug research has a k-value of 0.1229. find the substances half-life, in days using the exponential decay formula. round your answer to the nearest tenth What is Noahs point of view of jasper? Ovulation occurs in the ovary, forming the corpus luteum at the end of this phase. ovulation results in the release of an ovum from the ovary. the remaining follicle becomes a corpus luteum at the end of which uterine phase? How does climate affect the nature and location of tropical rainforests? I WILL MARK BRAILIESTSelect the correct sequence of moving from improvisational dance to a choreographed dance.A. Choose the music, get a basic outline of the footwork, add details, and check your technique.B. Choose the music, check your technique, get a basic outline of the footwork, and add details.C. Get a basic outline of the footwork, choose the music, add details, and check your technique.D. Get a basic outline of the footwork, choose the music, check your technique, and add details. Why is satire considered controversial? A.Because it causes people to question their deeply held beliefs B.Because it uses animals who display the same flaws as human beings C.Because it tells a moral or lesson that not everyone will agree with D.Because it offers a criticism of what some people consider to be sensitive issues What is the iupac name for the organic compound that reacts with br2? BRAINLIESTTTT ASAP!!!1. Which two particles are present in the nucleus of an atom? Electrons and neutrons Electrons and molecules Protons and neutrons Protons and electrons2. Boron is to the immediate left of carbon in the same row in the periodic table. Which of the following statements compares the radius and pull exerted by the protons of boron and carbon atoms? Boron has a smaller radius and the protons in carbon exert a greater pull. Boron has a larger radius and the protons in carbon exert a greater pull. Boron has a smaller radius and the protons in carbon exert less pull. Boron has a larger radius and the protons in carbon exert less pull. The federal reserve's goal in managing the money supply is to ensure that money retains its value. a. True b. False What were some of the dangers and challenges thst runaway slaves faced? What is one reason postman believes television is a myth in current culture?a.because tv offers experiences that normal society will never personally experienceb.because tv is accepted as normal in some societies but shunned in othersc.because tv offers an unbiased view on a plethora of topicsd.because tv is so embedded in the culture that its effects are invisible? Given the least squares regression equation, = 1202 + 1,133x, when x = 4, what does equal? Individuals are allowed to give the largest contributions to ___. In the number 7,777.777, how does the 7 in the hundreds place compare to the 7 in the place to its left? A. The 7 in the hundreds place represents of what the 7 to its left represents. B. The 7 in the hundreds place represents 10 times what the 7 to its left represents. C. The 7 in the hundreds place represents of what the 7 to its left represents. D. The 7 in the hundreds place represents 100 times what the 7 to its left represents. Let a=x^2+4. rewrite the following equation I terms of a and set it to equal zero. (x^2+4)^2+32=12x^2+48 In resulting equation what is the coefficient of the a term?___ In the resulting equation, what is the constant? ____