Mathematics Middle School

HELP! Two right rectangular prisms are shown below. If each prism is packed with small cubes of side length 1/4 inch how many more cubes are in prism 2


A. 42 Cubes B. 48 Cubes

C. 510 Cubes D. 720 Cubes

HELP! Two Right Rectangular Prisms Are Shown Below. If Each Prism Is Packed With Small Cubes Of Side

Answers

Answer 1

Answer:

First find the volume of the two rectangular prisms using the formula:

V = l · w · h

Where 'l' represents the length, 'w' the width, and 'h' the height.

Now let's find the volume of Prism 1;

V = l · w · h

V = 7/4 · 3/2 · 5/4

V = (7/4 · 3/2) · 5/4

V = 21/8 · 5/4

V = 105/32 cubic inches.

Now let's find the volume of Prism 2;

V = l · w · h

V = 5/2 · 9/4 · 2

V = (5/2 · 9/4) · 2

V = 45/8 · 2/1(make 2 to 2/1 because it makes it a bit easier)

V = 90/8 cubic inches.

Now let's find how many cubes can fit into each of these prisms.

But first, we need to find out the volume of one cube.

Remember, all sides to a cube are equal.

Using the formula, V = l · w · h;

1/4 · 1/4 · 1/4

= 1/64 cubic inches is the volume of one cube.

Now we find how many cubes can fit inside each of these prisms.

Prism 1:

105/32(volume for this prism) ÷ 1/64(volume of one cube)

= 210 cubes can fit inside prism one.

Prism 2:

90/8(volume for this prism) ÷ 1/64(volume of one cube)

= 720 cubes can fit inside prism two.

Finally, let's calculate their difference:-

720 - 210

= 510 cubes.

Hence, prism 2 can hold 510 more cubes than prism 1.

Related Questions

Which equation represents the proportional relationship between the distance traveled, y , and the time, x, in hours, of a tractor, if it can travel at a rate of 48 miles every 2.5 hours?

Answers

I think y is 19.2 and x is 7.68

Answer:

Step-by-step explanation:

The unit rate (speed) of the tractor is

 48 mi

------------- = 19.2 mi/hr

 2.5 hrs

The distance is found by multiplying the rate by elapsed time:

distance = y = (19.2 mi/hr)x, where x is the number of hours elapsed.

help me im confused please

Answers

Answer: soil A                                                 .                                                            .

Step-by-step explanation:

.............................

Answers

Answer: Sandy, do not overlap

Step-by-step explanation:
To find the volume of a rectangle, you use the formula

volume = length x width x height


the height of both rectangles is 8

The height of the top rectangle is 4

So you take the 8-4 to get the height of the bottom rectangle which is 4.

By finding that it shows that Sandy’s volume equation is correct, and the shape shows no signs of overlap.

Find the mean of the data.

A table, titled “Sit-ups”. There are three columns. Then first column reads, 108, 103, 98, and 105. The second column reads, 85, 112, 119, and 82. The third columns reads, 94, 115, 126, and 89.

Answers

The first columns mean is 103.5
The second columns mean is 99.5
The third columns mean is 106

pls help with this assignment D:

Answers

Answer:

ok, i don't  remember this math  but!    all the questions it ask count the beans count like on ,  3/8    count as u see it says  4.    and with adding that i dont have time to do um here.

Step-by-step explanation:

1.4   2.3   3.5      4.1      5.1    6.14?   if wrong im tired but for next time count and add i think

The semi circle has a diameter of 5 meters what is the area of this figure use 3.14 to for pi enter your answer as a decimal in the box Round your answer to the nearest hundredth !

Answers

Answer:

Step-by-step explanation:

So if the area of a circle is pi times the radius squared, since it is a semi circle, you would to 3.14 times 5 squared /2 to find the answer to the question.

please help me with this

Answers

(-2.5,2) i would say is about the approximate

To look for it just look at the lines intersecting
Approximately (-2.5,2) in Quadrant II

How many quarts are there in 10 1/2 gallons? (1 gallon = 4 quarts)
Show your work.

Answers

42 quarts

10x4= 40 quarts
1/2= 2 quarts
40+2= 42

This figure represents a specialty design for an art print, made of a square and 3 identical triangles.


What is the area of 4 of these designs?



77 cm²


91 cm²


364 cm²


532 cm²

Answers

Answer:

91cm2 (or just 91)

Step-by-step explanation:

the area of the square is 49, and 1 triangle is 14 you have to add all 3 triangles plus the square(or the base).

The value of the area of 4 of these designs is,

⇒ Area = 91 cm²

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

This figure represents a specialty design for an art print, made of a square and 3 identical triangles.

Hence, We get;

Area of triangle = 1/2 x 4 x 7

                        = 14 cm²

And, Area of square = 7 × 7

                               = 49 cm²

Thus, The area of 4 of these designs is,

⇒ Area = 14 × 3 + 49

           = 42 + 49

           = 91 cm²

Therefore, The value of the area of 4 of these designs is,

⇒ Area = 91 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

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THEREEEEEEE U GOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

OKKK

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLEASE HELP!
Describe and correct the error in finding a solution of the equation in two variables.
y= 3x + 2; (5,1)
5 (? right on top of this) = 3 (1) + 2
5 = 5
So, (5,1) is a solution.

Answers

Answer:Yes.

Step-by-step explanation: Substitute either of the those values and you should get the other.

For instance, substituting x = 1 got you y = 5. If you had substituted x = 1 and got a different y-value, then the coordinates would have been incorrect.

How are area and volume similar?
both are 2-dimensional
both take up an amount of space
both are 3-dimensional
both have length, width, and height

Answers

Answer:

It has to be "both take up an amount of space"

Step-by-step explanation:

Area is 2D, and only has length and width

Volume is 3D, and has length, width, height

Answer:

Both take up an amount of space.

Step-by-step explanation:

Answer ASAP!

sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 in long 4.2 in wide and 12.5 in tall if one bag of packaging material holds 75 cu in of material how many bag does sasha need to buy to fill the space around the photo box

Answers

Using Perimeter of Rectangular box, Sasha needs 9 bags to buy to fill the space around the photo box.

What is rectangular?

A rectangular is "2D shapes that has 4 sides, 4 corner and 4 right angles".

According to the question,

The rectangular box has length 12.5 and wide is 4.2 wide and 12.5 height.

Formula for area of rectangular box = length ×breadth × height.

= 12.5 × 4.2 × 12.5

= 656.25.

If one bag contains 75 cu of material then to find how many number bags needs to buy to fill 656.25 space.

=[tex]\frac{656.25}{75}[/tex]

=8.75 ≈ 9.

Hence, Sasha needs 9 bags to buy to fill the space around the photo rectangular box.

Learn more about rectangular here

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Can anyone help me pls ( I'll give brainliest) no links pls

Stephanie is helping her band collect money to fund a field trip.
The band decided to sell boxes of chocolate bars. Each bar sells
for $1.50 and each box contains 20 bars. Below is a partial table
of monies collected for different numbers of boxes sold.
Boxes Sold (b) Money Collected (m)
1 $30
2 $60
3 $90
4 $120
5 $150
6 $180
7 $210
8 $240

1.) Complete the table above for all values of m.

2.) Which is the independent variable?

3.) Which is the dependent variable?


4.) Write an equation for the amount of money, m, that will be
collected if b boxes of chocolate bars are sold.

5.) Graph the equation using the ordered pairs from the table
above.
(Don’t forget to label your axes and increments!)

6.) How much money will be collected if 100 boxes of chocolate
bars are sold?

7.) The band collected $1530 from chocolate bar sales. How
many boxes did they sell?

Answers

Answer:

Step-by-step explanation:

for the table for every box just add 30 more dollars 1.5x20=30

The independent variable is I believe the box of candy bars

And the dependent is the money collected

m=30b since a 1 box is 30 dollars

m=30(100)

m=3000 they will make 3,000 dollars with 100 boxes

1530=30b

/30. /30

51=b

51 boxes of chocolate bars when they make $1530 dollars

Graph will be below

Evaluate the expression 8 + 6 − (8 ÷ 4) x 2 using PEMDAS. (4 points) 21 17 14 10

Answers

Answer:

The answer is 10

Step-by-step explanation:

You have to do 8/4 which is 2 then multiply it by 2 which is 4 then add 8 + 6 which is 14 and then subtract it by 4 which is 10.

Answer:

10

Step-by-step explanation:

8/4 which is 2  

multiply it by 2 which is 4

add 8 + 6 which is 14

then subtract it by 4 which is 10.

I also got it correct on a test

Brainliest and points! Thank you so muchh in advance!! Thank you!!!!

Solve this problem for N.

N x (20 ÷ 5) = 80

a. 20
b. 10
c. 30

Answers

N=20

N*(20/5)=80
20*(20/5)=80

20/5=4
20*4=80
N=20 I hope is the correct answer:)

Which point in the coordinate plane? HELP!!

Answers

Answer:

m

Step-by-step explanation:

M is the answer since it lies nearest to the marks that are being asked for

(Repost) School is starting, and the teacher is giving each student 2 new pencils. She has 8 rows with 4 desks in each row. Which method (s) below will show her how many pencils she will need?
A. 2 x 8 + 16, 16 x 4
B. 2 x 4 + 8, 8 x 8
C. 4 x 8 + 32, 2 x 32
-------------------------------------
A. Only method A
B. Only method A and B
C. Only method B and C
D. Only method A, B, and C

Answers

A

2 x 8+16 = 32 16 x 4 = 64

B

2 x 4 +8 = 16 8 x 8 = 64

C

4 x 8 + 32 = 64  2 x 32 = 64

1  l l l l   8              5 l l l l     40

2 l l l l   16             6 l l l l     48

3 l l l l   24            7 l l l l      56

4 l l l l   32            8 l l l l      64

The teacher has 64 or more pencils to give out.

Hope this helps you choice your answer. :)

D.) only method A, B, and C,

PLs help.............................

Answers

Answer:

384 inches

Step-by-step explanation:

6*8^2 is 384

Answer:

384 inches

Step-by-step explanation:

multiply 8 by 6 and square it

A cylindrical swimming pool has a radius of 9 feet. Daniel fills the pool with water at a rate of 72 cubic feet per hour. How long will it take for the depth of the water in the pool to reach 4 feet? use 3.14 for pi.

Answers

Answer:

okay it took me a while to remember the work for radius but i know now so with radius its 9x9xpi and pi always =

Step-by-step explanation:

okay it took me a while to remember the work for radius but i know now so with radius its 9x9xpi and pi always = 3.14 so it will be 9x9x3.14 =254.34 so the awnser is 1 254.34 or 2 81πcubic feet[tex]x^{2}[/tex]

Brainliest! Help please, thank you so much!!

Which type of fraction is the following?

12/10

A. improper
B. proper

Answers

For 12/10, the denominator is 10. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number.

Answer: Improper.

Step-by-step explanation: Improper fractions are fractions that have a bigger numerator than the denominator.  For example, the fraction 15/3 is an improper fraction because the numerator 15, is bigger than the denominator 3.  A proper fraction has the opposite of what I said.

Hope this helps! :)

a quadrilateral with its sides all congruent all angles required to be equal to 90 degrees is:

a. Trapezoid c. parallelogram
b. rhombus d. square

Answers

Answer:

A square.

Step-by-step explanation:

1. A trapezoid's sides are not all equal to 90 degrees.

2. A parallelogram has sides that are congruent, but not all sides.

3. A rhombus has all congruent sides, but none of them are equal to 90 degrees.

4. A square has congruent sides that are all equal to 90 degrees.

I think the answer is square, Since all angles are required to be equal to 90 degrees.

(HELP ASAP)
Using all of the sources,which statements best explain how specialization affected the economic development of regions in the United States?

Select the THREE correct answers.

A: The west became a major supplier of manufactured goods for Northeast.

B: The Midwest became a major grain-growing region of the United States.

C: the north became dependent on workers who migrated from the South.

D: The south hat to import most of Ts food to feed its growing population.

E: The south began to produce more cotton than any other region

F: The northeast became a center for manufacturing and industry.

G: The north and south produce similar crops and goods.

Answers

Answer:

Whatever you think Hot shot, We don't have the article!!

Step-by-step explanation:

Dear ???,

Re-read and find out your ASAP answer yourself,

Thank you,

????

16 POINTS!!!
Which answer choice shows a correct inequality statement? a. b. c. d.

Answers

Answer:

The answer is D

Step-by-step explanation:

I turned all the fraction into decmials so it would be

- 3.46 < -2.33 < -0.75 < 3.2 < 6

As you can see these are all true statements (Don't let the negitives confuse you)

i’m pretty sure the answer is D.

I would be grateful if someone would help me please.

Answers

Answer:

-39 = -43 + y/11 is

y=44

Hope this helps!

the answer is y= 44 i think

Select the correct answer.
If d = 2, what is the value of ?
A.
1
B.

C.
4/3
D.
0

Answers

Are you sure that’s the full question?
That is definitely not the full question. Add the full question to the comments and I will answer it. Thanks!

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of question is on the test?
A. m = 19, n = 21
B. m = 26, n = 14
C. m = 14, n = 26
D. m = 21, n = 19
Which letter is it? please help ASAP homework is due soon

Answers

Answer:

same question i have right now need extra help /.

Step-by-step explanation:


A. m = 19, n = 21
B. m = 26, n = 14
C. m = 14, n = 26
D. m = 21, n = 19
The final answer is A

Does the scatter plot show a linear​ association, a nonlinear​ association, or no​ association?

Answers

Answer: a non linear association

Step-by-step explanation:  variables are increasing with each other but it does not form a straight line

help me with this question please the one on top helps you answer the question

Answers

Answer:

.5

Step-by-step explanation:

rise (x) over the run (y), which would be 2/1. And you would multiply 2 x.5 to get to 1.

Answer:
.5
Use rise over run

Help guys
I realy need help
I will report you if you give me the wrong answer

Answers

Answer:

the Answer is 150x + 12100 ≤ 26500

Step-by-step explanation:

The max weight is 26500 so the weight would have to be the same or less than 26500 (≤)

There is already 12100 killograms on the sipping containter so that is why you have + 12100

and you have 150x because x is the number of 150-kilogram crates

and for as many crates you have to multiply by the weight.

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