Both figures have 9 congruent small cubes with
side length of 1 unit. Please find attached file in
order to compare and contrast the two figures
in terms of surface area and volume.
Answers
Answer:
Fig. 1 has less surface area than Fig. 2, but both figures have the same volume.
Step-by-step explanation:
The formulas for the surface area and volume are equal to:
[tex]A_{s} = n_{s} \cdot l^{2}[/tex]
[tex]V = n_{v}\cdot l^{3}[/tex]
Where:
[tex]n_{s}[/tex] - Number of faces.
[tex]n_{v}[/tex] - Number of cubes.
[tex]l[/tex] - Length of a cube side.
Surface Area
Fig. 1 has 34 faces, whereas Fig. 2 has 36 faces. The surface area are, respectively:
Fig. 1
[tex]A_{s} = 34\cdot (1\,u)^{2}[/tex]
[tex]A_{s} = 34\,u^{2}[/tex]
Fig. 2
[tex]A_{s} = 36\cdot (1\,u)^{2}[/tex]
[tex]A_{s} = 36\cdot u^{2}[/tex]
Fig. 2 has more surface area than Fig. 1
Volume
Fig. 1 has 9 cubes, whereas Fig. 2 has 9 cubes.
Fig. 1
[tex]V = 9\cdot (1\,u^{3})[/tex]
[tex]V = 9\,u^{3}[/tex]
Fig. 2
[tex]V = 9\cdot (1\,u^{3})[/tex]
[tex]V = 9\,u^{3}[/tex]
Both have the same volume.
Answer:
The two figures have equal volume, but different surface areas.
Step-by-step explanation:
Since the small cubes are congruent with side length of 1 unit, the area of its surfaces is 1 squared unit.
For fig 1, the surface area = number of faces × 1 squared unit
= 34 ×1 squared unit
= 34 squared unit
For fig 2, the surface area = number of faces × 1 squared unit
= 38 × 1 squared unit
= 38 squared unit
The volume of a cube = 1 cube unit
For fig 1, volume = number of cubes ×1 cube unit
= 9 × 1 cube unit
= 9 cube unit
For fig 2, volume = number of cubes ×1 cube unit
= 9 × 1 cube unit
= 9 cube unit
Related Questions
HELP NOW PLZ!
Which is true about the data shown in the scatter plot?
A) The data have no clusters and outliers.
B) The data cluster along a line and there is no outlier.
C) The data cluster along a curve and there is no outlier.
D) The data cluster along a line. The point (10, 6) is an outlier.
Answers
Answer:
D is the right answer
Step-by-step explanation:
The stem-and-lear plot lists the scores earned
by students on a science test.
Stem | Leaf
40
How many students earned a core of 85 or
greater?
5 57
610
7 00 78
Enter your answer in the box.
8 2 2 2 556
9111455
40
Key: 410 means 40.
Answers
Answer: I'm sure it is 33
Joan has a cafe. Each day, she bakes 24 muffins. She gives away 3 and sells the rest. Each day, she also bakes 36 bagels. she gives away 4 and sells the rest. Write an expression to represent the total number of muffins and bagels Joan sells in 5 days. Then evaluate the expression to find the total amount of muffins and bagels Joan sells in 5 days.
Answers
Answer:
(24+36)×5 First you do whatever is in the parentheses first which would be 60. Next you would multiply it by 5 which is 5 days. It is 500. Joan sells 500 muffins and bagels in a day.
Please help free Brainliest to correct answer!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
[tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{5}[/tex]
Keep, change, flip.
So, [tex]\frac{5}{6}[/tex] stays the same.
The division sign changes to multiplication.
[tex]\frac{1}{5}[/tex] changes to 5.
So now you have
[tex]\frac{5}{6}[/tex]×[tex]\frac{5}{1}[/tex]= [tex]\frac{25}{6}[/tex]
6·4=24
25-24=1
D= [tex]4\frac{1}{6}[/tex]
Answer:
The correct answer is D. Brainliest plz. I am trying to level up and only have 2 out of the 5 needed. Thanks! Have a good day
Simplify the expression Square root of 63
Answers
Answer:
[tex]3\sqrt{7}[/tex]
Step-by-step explanation:
Step 1: Simplify
[tex]\sqrt{63}[/tex]
[tex]\sqrt{3^2 * 7}[/tex]
[tex]3\sqrt{7}[/tex]
Answer: [tex]3\sqrt{7}[/tex]
Answer:
7.94 0r 3 square root of 7
Step-by-step explanation:
The square root of 63 is 7.9372539331937717715048472609178. If you round it to two places it is 7.94. In radical form it is 3 square root of 7.
Given that there are four Cups in a quart and 4 quarts in a gallon which quantity below is equal to 16 quarts?
16 gallons
16 cups
64 cups
126 cups
Answers
Answer:
64 cups
Step-by-step explanation:
16 quarts ; 1 quart = 4 cups ; 16*4=64
Answer:
1 quart = 4 cups
Therefore 16 quarts = 16 * 4 cups or
64 cups.
Step-by-step explanation:
This composite figure has been divided into three rectangles.
3 rectangles stacked together. The height of all three rectangles together is 10 inches. The top rectangle is 4 inches high and 8 inches wide. The bottom rectangle is 1.5 inches high and half of the width is 4 inches.
What is the area of this composite figure?
30 inches squared
32 inches squared
62 inches squared
80 inches squared
Answers
Answer:
the answer is C.62
Step-by-step explanation:
have a great day
Answer:
THE ANSWER IS 62IN^2
Step-by-step explanation:
BECAUSE I HAVE PROOF
Mr abbot mowed1/4 of his lawn .his son mowed 3/7 of it who mowed most of the lawn how much of the lawn still needs to be mowed
Answers
His son mowed 3/7 of the lawn.
The first thing to do is get a common denominator, in this case a good one to use is 28. it has to be a number divisible by 4 and 7.
1/4=7/28
3/7=12/28
so now we can see that the son mowed more. now add these two numbers together to get how much they mowed in total
(7+12)/28=19/28 of the lawn is mowed.
that means 9/28 of the lawn still has to be mowed.
Mr Abbot's son mowed more of the lawn. In total, they mowed 19/28 or approximately 68% of the lawn. Hence, approximately 32% or 9/28 of the lawn still has to be mowed.
Explanation:To find out who mowed more lawn and how much of the lawn is still left to be mowed, we need to compare the fractions and then add them together.
Mr. Abbot mowed 1/4 of his lawn and his son mowed 3/7 of it. To compare these fractions, you can turn them into decimals or percent by dividing the numerator (the top number) by the denominator (the bottom number). Doing that, we find Mr. Abbot mowed 0.25 (or 25%) of the lawn and his son mowed approximately 0.43 (or 43%) of the lawn. Therefore, the son has mowed more lawn.
To figure out how much lawn is still left to be mowed, we add up the fractions of the lawn that Mr. Abbot and his son mowed: [tex]1/4 + 3/7 = 7/28 + 12/28 = 19/28[/tex]. Thus, 19/28 of the lawn have been mowed, and to figure out what fraction is left, we subtract this number from 1 since 1 represents the whole or 100% of the lawn: [tex]1 - 19/28 = 9/28[/tex]. So, 9/28 of the lawn still needs to be mowed.
Learn more about Fractions here:https://brainly.com/question/33564650
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Apply the distributive property to factor out the greatest common factor. 24+32p =
Answers
Answer: 8(4p + 3)
Step-by-step explanation: Let's first rewrite this as 32p + 24.
If you're asked to factor a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor between 32p and 24?
Well if you use a factor tree, you'll figure out that the greatest common factor between 32p and 24 is 8.
What that means is that 2 factors out of this polynomial and what you're left with is each of these terms divided by the number that factors out.
In other words 32p divided by 8 or 4p and 24 divided by 8 which is 3.
So your answer is 8(4p + 3) and that is a factored version of 24 + 32p.
Answer:
8(4p + 3)
Step-by-step explanation:
Researchers surveyed one hundred students on
which superpower they would most like to have.
The two-way table below displays data for the
sample of students who responded to the survey.
Superpower Male
Female
TOTAL
Fly
40
Invisibility
-
30
12
10
10
32
6
44
16.
Other
TOTAL
52
48
100
Given that the student chosen was a female, find
the probability that the student chose invisibility
as their superpower.
P (invisibility| female) =
Answers
Answer:
⅔
Step-by-step explanation:
Total females: 48
Female and invisibility: 32
P(invisibility/female) = 32/48
2/3
The probability that a female student chose invisibility as their superpower is 2/3
Probability determines the chance that an event would occur. The chance that an event would occur is between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
In this question, two groups of students were surveyed : male and female. Also, there were three groups of superpowers: fly, indivisibility and others.
The probability of a female student chose indivisibility as superpower = number of female students that chose indivisibility as superpower / number of female students
= 32/48
To simplify, divide both numerator and the denominator by 18
= 2/3
To learn more about probability, please check: https://brainly.com/question/9793303?referrer=searchResults
PLEASE ANSWER QUICK! A police officer is estimating the distance from one side of a street to the other. The actual distance is 13.8. The police officer's estimate is 14. Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth
Answers
Answer:
The absolute error is 0.2
The percent error is 1.45
Step-by-step explanation:
Please kindly check the attached for explanation
The absolute error of the police officer's estimate is 0.2, and the percent error is approximately 1.5%
Explanation:In Mathematics, absolute error is determined by the absolute value of the difference between the estimated value and the actual value. Therefore, the absolute error in this case is |14 - 13.8| = 0.2.
Percent error, on the other hand, is calculated by first finding the absolute error, then dividing the absolute error by the actual measurement, and finally multiplying the result by 100% to turn it into a percentage. So in this case, the percent error is given by (0.2 / 13.8) * 100 = 1.45%. Since we should round it off to the nearest tenths, the percent error will be roughly 1.5%.
Learn more about Error Calculation here:https://brainly.com/question/31825365
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From the equation, find the axis of symmetry of the parabola.
y = 3x2 - 12x+11
a. x = -2
b. x = 2
c. x = 1
d. x = -1
Answers
Answer:
B. x=2
Step-by-step explanation:
The formula to find the axis of symmetry is -b/2a.
So, in this case, we find our b and a, which are 3 and -12.
Plug them into the formula.
-(-12)/2(3)
The negative sign times another negative makes it into a positive, now we have a positive 12 and then 2 multiplied by 3 equals 6.
Our new equation is 12/6.
Then, simply solve it, 12 divided by 6 equals 2.
Therefore, B would be your answer, x=2.
The axis of symmetry of the parabola defined by the equation y = 3x^2 - 12x + 11 is x = 2.
Explanation:To find the axis of symmetry of the parabola defined by the equation y = 3x2 - 12x + 11,
we can use the formula for the axis of symmetry for a parabola in standard form which is x = -b/2a.
In this equation, a is the coefficient of x2, which is 3, and b is the coefficient of x, which is -12.
Plugging the values into the formula, we get x = -(-12)/(2*3) = 12/6 = 2.
Therefore, the axis of symmetry of the given parabola is x = 2.
y varies directly with x. If x=6 when y=30, determine y when x=8.
Answers
Answer:
Y=40
Explanation:
Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.
6:30 = 8:40
or
30/6= 5
Y/8= 5
Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.
Answer:40
Step-by-step explanation:
6 times 5 is 30
so 8 times 5 = 40
Find a number that is not a solution to 3x-1>8 or 7-x>3
Answers
Answer:
All of the numbers are solutions.
Step-by-step explanation:
Step 1: Solve for x in the first equation
[tex]3x - 1 + 1 > 8 + 1[/tex]
[tex]3x / 3 > 9 / 3[/tex]
[tex]x > 3[/tex]
Step 2: Solve for x in the second equation
[tex]7 - x - 7 > 3 - 7[/tex]
[tex]-x / -1 > -4 / -1[/tex]
Since you divided by a negative, you must flip the sign.
[tex]x < 4[/tex]
Step 3: Find the number
x > 3 and x < 4
Answer: All of the numbers are solutions.
What is the positive solution of x2 – 36 = 5x?
Answers
Answer:
x² - 5x - 36 = 0
(x - 9)(x + 4) = 0
x = 9 is the positive solution.
a child should no longer play in the kid zone area when they reach 4'4" tall joe is 54" tall is he allowed to play in the kid zone area
Answers
Answer: No.
Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.
Joe is 54 inches tall, which is taller than the kid zone's maximum allowed height of 52 inches (4 feet 4 inches). Therefore, he is not allowed to play in the kid zone area.
To determine if Joe is allowed to play in the kid zone area, we must compare his height to the maximum height allowed for the kid zone. The maximum height for the kid zone is 4 feet 4 inches, which needs to be converted to inches to compare easily with Joe's height.
First, we know that 1 foot equals 12 inches. So, 4 feet is equal to 4 x 12 inches, which is 48 inches. Adding the extra 4 inches from the height limit gives us 48 + 4 inches, which is 52 inches. This is the maximum height allowed for the kid zone.
Since Joe is 54 inches tall, which is greater than the maximum 52 inches, it means he is too tall to play in the kid zone. Therefore, he is not allowed to play there according to the height restriction.
Fran has a monthly income of $2560, and budgets 8% of that amount for groceries. How much money does she budget for groceries each month?
Answers
Answer:
$205
Step-by-step explanation:
To solve this problem, we need to multiply $2,560 by 8%. Don't forget to change 8% into its decimal form (8% -> .08).
2,560 x .08 = 204.8
Fran budgets $205 dollars for groceries each month.
−30=5(x+1) please simplify this for khan academy. org
Answers
Answer:
-7 =x
Step-by-step explanation:
−30=5(x+1)
Divide each side by 5
−30/5=5/5 (x+1)
-6 = x+1
Subtract 1 from each side
-6-1 = x+1-1
-7 =x
Answer: x=-7
Step-by-step explanation:
-30=5(x+1)
multiply the brackets
-30=5x+5
take away 5x from both sides of the equation
-30-5x=5
add 30 to both sides
-5x=35
divide both sides by -5
x=-7
Some of the students at Kahlo Middle School like to ride their bikes to and from school. They always ride unless it rains. Let d be the distance in miles from a student's home to the school. Write two different expressions that represent how far a student travels by bike in a four week period if there is one rainy day each week.
Answers
Answer:
32d
Step-by-step explanation:
-The students ride their bikes to and from school every day. The distance is thus;
[tex]d_t=2d[/tex]
-Taking that there are 5 school days per week and that it rains in one per week. the total number of days is:
[tex]Days=Days \ per \ week \times \ number \ of \ weeks\\\\=(5-1)\times 4\\\\=16\ days[/tex]
Now, we multiply the distance per day by the total number of days:
[tex]Distance, D=2d\times 16\\\\=32d[/tex]
Hence, the total distance in a 4-week period is expressed as 32d ( where d is the distance from home to school).
Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
cube to make a letter block. How much fabric did Sofia use to make
this block?
Answers
Answer:
384 square cm
Step-by-step explanation:
Fabric used will be equal to the total surface of the cubical block.
[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]
225 is a perfect square? True or false
Answers
If no number is written next to a variable, the coefficient is understood to be the number
Answers
In mathematics and related fields, if no number is written next to a variable or as a coefficient, it is implicitly understood to be 1. This concept applies across algebra, chemistry, scientific notation, and more, illustrating the importance of context in interpreting mathematical and scientific notation.
Explanation:If no number is written next to a variable, it is understood to be the number 1. This foundational concept is seen across multiple mathematical and scientific disciplines. In algebra, for instance, writing x is the same as writing 1x. Similarly, in chemistry, a coefficient of 1 is usually omitted when writing chemical equations - for example, H2O is understood to have a coefficient of 1 for both hydrogen and oxygen.
The notion of coefficients being implied to be 1 is also prevalent in contexts such as scientific notation and computer programming. In scientific notation, a number like 7.9345104 has 7.9345 as its coefficient, and while explicit, the idea of implicit values is similar. In programming, operations assume an implicit understanding of values, much like the implicit coefficient of 1.
Use Appropriate Tools
1) A group of students were
on a school bus. At the last
stop, the bus picked up 16
more students. The bus
arrived at school with a
total of 25 students. How
many students were on the
bus before the last stop?
Solve this problem any way
you choose.
Answers
Answer:
9
Step-by-step explanation:
just subtract 16 from 25
The value of x in the equation
Answers
Answer:
it is 4
Step-by-step explanation:
i know it i had that question
A scatter plot is shown below:
Which statement is most likely correct about the line ?
A. It can be a line of best fit because it is close to most data points.
B. It can be a line of best fit because it passes through all data points
C. It cannot be a line of best fit because it’s not close to most of the data points
D. You cannot be the line of best fit because it does not show a positive association
Answers
It’s far off from most of the points
How do I solve for K on the bottom triangle?
Answers
Answer:
k = 3
Step-by-step explanation:
The two triangles are congruent;
Triangle EFD is and enlargement of triangle QRP by scale factor 2;
So we can get side RP (k) by halving FD.
What is -9-x when x= 4.3
Answers
Answer:
-9-x=13.3
Step-by-step explanation:
x=4.3
-9-x=
-9-4.3=-13.3
can you help me find this answer
Answers
Answer:
y = 10m
Step-by-step explanation:
Step 1: Rewrite
y = centimeters
y = millimeters * 10
y = 10m
Answer: y = 10m
What is answer to 4 1/4 - 2 5/6?
Answers
Answer:
17
Step-by-step explanation:
4 1/4 - 2 5/6
These are mixed fractions
Step one
Convert mixed fraction to improper fraction
4 1/4 = [(4×4)+1]/4=(16+1)/4=17/4
2 5/6 = [(2×6)+5]/6=(12+5)/6=17/6
Step 2
Difference between 17/4 and 17/6
Find the lowest common multiples of the denominators of both fractions
Multiples of 4
4×1=4
4×2=8
4×3=12
Multiples of 6
6×1=6
6×2=12
The lowest common multiple(LCM) of 4 and 6 is 12
Step 3
Multiply each fraction by the LCM , 12
[(17/4)×12] - [(17/6)×12]=51-34=17
will give brainiest to the first person who answers correctly!!!!
Answers
Answer:
Option B
Step-by-step explanation:
Its the same because its basically just like stacking the same shape over and over to make a prism
Answer:
answer is B your welcome:)
Step-by-step explanation: