Mathematics Middle School

A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.



What is the difference in volume between the prism and the storage container?



Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Answer 1

Answer:

The answer would be 4  1/4

Step-by-step explanation:

Answer 2

The difference in volume between the prism and the storage container is 68,580 cubic inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of the rectangular prism is:

V = l × w × h

= 312 in × 312 in × 7 in

= 68,670 in³

The volume of the storage container is given as 90 cubic inches.

The difference in volume between the prism and the storage container is:

68,670 in³ - 90 in³ = 68,580 in³

Therefore, the difference in volume between the prism and the storage container is 68,580 cubic inches.

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Related Questions

what is the area of the rectangle is 4 inches long and 1 3/4 inches wide?

Answers

You just have to multiply 4 and 1.75. The answer would be 7.

Similarities between justice and revenge

Answers

Justice and revenge are both punishments and Justice is a form of revenge.

Final answer:

Justice and revenge differ in intentions and outcomes. Justice focuses on fairness and societal laws, while revenge is driven by personal vendettas. It's crucial to differentiate between the two concepts to avoid perpetuating harm.

Explanation:

Justice and revenge both involve the desire for consequences towards a wrongdoing, but they differ in their intentions and outcomes. While justice aims for fairness and upholding societal laws, revenge seeks to harm those who have caused harm, often driven by personal emotions.

One key difference between justice and revenge is that justice is typically carried out within a legal framework and aims to restore balance in society, whereas revenge is driven by personal vendetta and can perpetuate cycles of violence.

It's essential to differentiate between the two concepts, as justice aligns with societal norms and legal systems, while revenge risks leading to further harm and conflict.

Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop for clothes that day, the number of people who shopped for clothes that day was ______. (only put numeric values, no other symbols)

Answers

If 60% did not, then 40% did

Set up a proportion.
60%/ 2500 = 40%/x
60% x = 2500 * 40%
x = (40% / 60%) * 2500
x = (0.4 / 0.6) * 2500
x = 1666.667
You have to round this, but which way? I would go down.

You could do this another way. Find 100% first.
60% of x = 2500
x = 2500 / 0.6
x = 4166.666666

That is the total number of people he saw.
Take out the 2500
4166.66666 - 2500 = 1666.6666
You arrive at the same place. Which do you like better?

Anyone know 14!!!! ASAP

Answers

Word problem: Today the temperature dropped 13 °F. After this drop, the temperature was 74 °F. What was the original temperature outside before the drop?

Subtraction problem: x °F - 13 °F = 74 °F

Solve: x - 13 = 74
x - 13(+13) = 74 + 13
x = 87 °F

Does anybody know why I keep losing brainiest answers and am now ambitious instead of a virtuoso?

Answers

Because you need the brainiest answers AND the points. 
You have to come on everyday and be active (:

Yesterday you walked 1/3 mile .today you walked 1/2 mile. How far did you walk in those two days?

Answers

you walked 5/6 mile

1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
First, we must make the fractions become similar fractions.
LCD = 6
1/3 + 1/2
= 2/6 + 3/6
= 5/6 miles
:)

What is the surface area of this right rectangular prism? Enter your answer in the box.

Answers

Hello!

We must use a certain formula to calculate the surface area of a rectangular prism. The formula is:

A = 2 (wl + hl + hw)

Substitute:

A = 2(4 × 5) + (2 × 5) + (2 × 4)

A = 2(20 + 10 + 8)

A = 76 cm squared

ANSWER:

The surface area of the right rectangular prism is 76 centimetres squared.

Answer: [tex]76\ m^2[/tex]

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]\text{Surface area}=2(lw+wh+hl)\\\\\Rightarrow\ \text{Surface area}=2(4\cdot5+2\cdot5+2\cdot4)\\\\\Rightarrow\ \text{Surface area}=2(20+10+8)\\\\\Rightarrow\ \text{Surface area}=2(38)\\\\\Rightarrow\ \text{Surface area}=76\ m^2[/tex]

Hence, he surface area of this right rectangular prism= [tex]76\ m^2[/tex]

tina drove 60 miles per hour to tucson. write a function rule that relates the number of miles traveled to the total of the hours driven

Answers

A function rule would be y = 60x. Y represents the number of miles traveled, and X represents the number of hours. For example, if Tina drove for three hours, it would be 60×3 which is 180 miles.

if 4-(1/x)=(3/x²) what is x

Answers

hope this helps x = -3/4
x=1
4x^2−x=3(Simplify both sides of the equation)4x^2−x−3=3−3(Subtract 3 from both sides)4x^2−x−3=0(4x+3)(x−1)=0(Factor left side of equation)4x+3=0 or x−1=0(Set factors equal to 0)x=−3/4 or x=1Check answers. (Plug them in to make sure they work.)x=−3/4(Works in original equation)x=1(Works in original equation)Answer:x=−3/4 or x=1

There are 42 chocolate cookies and 14 vanilla cookies in each package of cookies.
What is the unit rate in chocolate cookies per vanilla cookie?
2
3
14
42

Answers

It is 3:1 the ratio of chocolate cookies and 1, the vanilla cookies.
3 because if you put 42 over 14 (42/14) and simplify, it equals 3 chocolate cookies per vanilla cookie

When you take the cube root of a positive or negative integer, how many possible answers are there?

Answers

When u take the cubic root of 8 the answer will be 2. which means in this case, you have only one possible answer. However, taking in account the following example.

[tex] x^3=8[/tex]
[tex] \sqrt[3]{x^3} =\sqrt[3][8][/tex]
[tex] x_{1} =2, x_{2}=2, and x_{3}=2[/tex]
which means there are 3 answers for x but all lies at the same point.

I hope this answer helps you to figure out what u r looking for ;)

How do I find the area of the isosceles triangle?

Answers

Use the Pythagorean Theorem to find 'h'.

[tex]\sf a^2+b^2=c^2[/tex]

For right triangles, where 'a' and 'b' are the two legs and 'c' is the hypotenuse.

Divide the base by 2 to find the base length of one of the right triangles. 32/2 = 16. Now apply the Pythagorean Theorem:

[tex]\sf 16^2+b^2=20^2[/tex]

Simplify:

[tex]\sf 256+b^2=400[/tex]

Subtract 256 to both sides:

[tex]\sf b^2=144[/tex]

Take the square root of both sides:

[tex]\sf b = 12[/tex]

So the height is 12cm. Apply the formula for the area of a triangle:

[tex]\sf A=\frac{1}{2}bh[/tex]

[tex]\sf A=\frac{1}{2}(32)(12)[/tex]

[tex]\sf A=192cm^2[/tex]

Choose the correct simplification of the expression (−9a3b2c10)0. 0 9a3b2c10 1 −9

Answers

Answer:

The answer is actually 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because i got it right on my test

Distributive property of
36+ 9y

Answers

find the greatest common factor (GCF)
in this case it would be 9

divide each term by the GCF
36 / 9 = 4
9y / 9 = y

put the two "new" terms in parenthesis and the GCF in front of it
9 (4 + y)
it could also be 9 (y + 4) because of Commutative Property of Addition
This problem in the distributive form would be 9(4+y) because the greatest common factor, or GCF, is 9. When you divide 36 by 9 you get 4 and 9 divided by 9 is one, therefore leaving the y.
To conclude the answer would be 9(4+y).
I hope this helped! :-)

brainlest for right answer

Answers

2.6 × 3 = 7.8
3 × 7 = 21
21 × 2 = 42
3 × 7 = 21
7.8 + 21 + 42 = 70.8 in2

Hope this helped!

What’s 5/10 + 18/100

Answers

you make 5/10 into 50/100 and 50 + 18 is 68 so it's 68/100 and you can simplify that
The answer is 68/100. First, you would find a common denominator by multiplying the first fraction by 10/10, to get 50/100. Then you can add 50/100 and 18/100 to get 68/100. Remember that 10/10 is the same as multiplying by 1!

A minor league baseball team plays 101 games in a season. If the team won 14 more than twice as many games as they lost, how many wins and loses did the team have?

Answers

A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?

Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.

Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)

Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
3l + 14 = 101
3l = 87
l = 29
So, we have 29 loses, and
w = 2(29) + 14
72 wins!
To check,
72 + 29 = 101, correct!

Hope this helps!

help me please !!!!!!!

Answers

None of the given answers are correct. We can check that fairly quickly:
[tex]4\sqrt[3]{4}=\sqrt[3]{4^4}=\sqrt[3]{4}=\sqrt[3]{256}[/tex]
Now let's do the same thing for given answers:
[tex]a) 2\sqrt[3]{16}=\sqrt[3]{8\cdot 16}=\sqrt[3]{128}\\ b) 2\sqrt[3]{64}=\sqrt[3]{8\cdot 64}=\sqrt[3]{512}\\ [/tex]
I don't have to continute, it's pretty obvious that answers C and D are wrong (notice we multiply by 4 and on top of that we square the third root).
Answer: third option:    [tex]4( \sqrt[3]{16})^{2x [/tex]

Explanation:

[tex]4( \sqrt[3]{16})^{2x}=4( \sqrt[3]{16^2})^x =4( \sqrt[3]{4^4} )^x=4(4 \sqrt[3]{4})^x [/tex]


I used 16^2 = 4^4

Later, I used 4^4 = 4^3 . 4

Use slope formula m= y2-y1/x2-x1 to find the slope of a line that passes through the points (–3, 8) and (4, –6).

Answers

Final answer:

The slope of the line passing through the points (−3, 8) and (4, −6) is calculated using the slope formula and results in a slope of −2.

Explanation:

To find the slope of the line that passes through the points (−3, 8) and (4, −6), we apply the slope formula m = (y2 − y1) / (x2 − x1). Let's designate the first point (−3, 8) as (x1, y1) and the second point (4, −6) as (x2, y2). Plugging these values into the formula, we get:

m = (−6 − 8) / (4 − (−3))

m = −14 / 7

m = −2

Therefore, the slope of the line between the two points is −2. The negative sign indicates that the line is descending from left to right.

Final answer:

To calculate the slope of a line that goes through the points (-3, 8) and (4, -6), apply the slope formula m = (y2 - y1) / (x2 - x1). After substituting the values, the slope is found to be -2.

Explanation:

To find the slope of the line that passes through the points –(3, 8) and (4, –6), we can use the slope formula, which is m = (y2 - y1) / (x2 - x1).

Using the given points, Point 1 (x1, y1) is (-3, 8) and Point 2 (x2, y2) is (4, -6). Substituting these values into the slope formula gives us:

m = (-6 - 8) / (4 - (-3))

m = (-14) / (7)

m = -2

Therefore, the slope of the line that passes through the given points is -2.

Melanie is making treat bags for Halloween. She bought a bag of taffy candy that contains 120 pieces and a bag of 84 pieces of cherry licorice. If all of the candy pieces are distributed equally among the treat bags, how many bags can Melanie make? How many pieces of each candy will be in one treat bag?

Answers

there wil be 12 bags; 10 taffy pieces and 7 cherry licorice pieces

h(t)=50− 5 t ​
h(35)=?

Answers

Answer:

Step-by-step explanation:

H(t) = 50 - t/5

h(35)=50-35/5

=50-7

=43

h(35) = 43

The quantity represented by h(t) is -125 at time t=35.

The function h(t) represents a certain quantity (for example, height, distance, etc.) as a function of time ‘t’. Here, you want to find the value of h(t) at t=35.

We can substitute t=35 into the function h(t):

h(35) = 50 - 5*35

Now, calculate the expression on the right side to find the value of h(35). This will give you the desired quantity at time t=35. Remember to follow the order of operations (multiplication before subtraction). Let’s calculate it:

h(35) = 50 - 5*35 = 50 - 175 = -125

So, h(35) = -125. This means that the quantity represented by h(t) is -125 at time t=35.

Wut is 65% as a fraction?

Answers

Well, 65/100 is a fraction over 100, so I hope that helps.
the answer would be 65/100

A box contains 100 colored chips; some are violet and some are red. Wilson chooses a chip at random, records the color, and places it back in the bag. Wilson has recorded 9 violet chips and 16 red chips. Using these results, what is the predicted number of violet chips in the box?
11
25
36
75

Answers

I think their are 25 chips in the bag.

Answer:

I did the test the answer is 25

Step-by-step explanation:

Help brainlest answer will get 20 points . Solve For X .It has to have an explanation and work !

Answers

The sum of the angles of a triangle is 180°, then:

(x+40)°+(3x-17)°+(2x-5)°=180°
x+40+3x-17+2x-5=180
6x+18=180
6x=162
x=27°

Why is it not possible to from a right triangle with the lengths 2,4 and 7?

Answers

It is not possible to form *any* triangle from the lengths 2, 4, and 7. The two short sides don't add to a length at least as long as the long side.


3. The missing side is given by the Pythagorean theorem:
  √((6 in)^2 + (12 in)^2) = 6√5 in ≈ 13.416 in

John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the numbet of dimes, x, in his pocket?

Answers

So, you have to have your equation in terms of dimes. What you said about what he has: four more nickels than dimes in his pocket. Will help with our equation.
We know what a nickel and dime is worth. A nickel is .05 and a dime is .1
We don't know how many dimes are in his pocket, since we're trying to solve it.
.1x+(4+x).05=1.25; 
In the parenthesis, it shows how there are four more nickels. Let's solve it now.
.1x + (4+x).05=1.25
.1x + .2+ .05x = 1.25; Let's add like terms.
.15x + .2 = 1.25; Subtract .2 from both sides.
.15x= 1.05
1.05÷.15= 7 =x
There are 7 dimes in his pocket, let's check our answer.
We now know there are 11 nickels, since there are four more nickels than dimes.
11(.05) +.1(7) = 1.25
.55+ .7 = 1.25
Now that we've tried it, we know there are 7 dimes in his pocket.
Tell me if this helps!

Paige has $7.75 to buy 12 sheets of felt and card stock for her scrapbook. The felt cost $0.50 per sheet, and the card stock cost $0.75.

Answers

she doesnt have enough but i dont know the question you kinda left it hanging

thats a hard question

The regular price of a DVD is $18, then it is put on sale for $14. Which integer represents the change in the price? A) -14 B) -4 C) 4 D) 14

Answers

The answer would be  b). -4
Reason being you have to minus four dollars to get to 14. If you chose c, then you would be adding four dollars, which isn't right. So your answer is b.

Answer:

The answer is b

Step-by-step explanation:


Your school is located at (2,−1), which is 2 blocks east and 1 block south of the center of town. To get from your house to the school, you walk 5 blocks west and 2 blocks north. a. What ordered pair corresponds to the location of your house?

Answers

Final answer:

Starting from your school's location (2,-1), by subtracting 5 from the x-coordinate for walking west, and adding 2 to the y-coordinate for walking north, the location of your house corresponds the ordered pair (-3,1).

Explanation:

Given your school is at (2,-1) and you walk 5 blocks west and 2 blocks north to reach your school, we can determine the location of your house. If we think of the coordinate system with east being positive along the x-axis and north as positive along the y-axis, then walking west (the opposite direction of positive x) means subtracting from the x-coordinate and walking north (the positive y direction) means adding to the y-coordinate.

So, starting from the school's location (2,-1), to account for your walk, subtract 5 (for walking west) from the x-coordinate, resulting in -3, and add 2 (for going north) to the y-coordinate, resulting in 1. Thus, the location of your house corresponds to the ordered pair (-3,1).

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A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm³ per hour.

How many hours will it take to drain all of the liquid?

Use 3.14 to approximate pi.

Enter your answer in the box.

Answers

The answer for this is 720!!!
:)

Answer:

720

Step-by-step explanation:

the guy above got it right thanks man/gal

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