All categories

3 years ago

each cube inside the rectangular prism has an edge length 3/4 inch.What is the volume of the rectangular prism?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

$\frac{27}{64}n\,\,cubic\,\, inches$

Step-by-step explanation:

Given: Edge length of cube = $\frac{3}{4}\,\,inch$

To find: Volume of the rectangular prism

Solution:

A cube is a three-dimensional solid object which has 12 edges, 8 vertices and 6 faces.

A rectangular prism is a solid three-dimensional object which has six faces that are rectangles.

Let n denotes number of cubes inside the rectangular prism

Volume of one cube = $(edge)^3=(\frac{3}{4})^3 =\frac{27}{64}$ cubic inches

So, volume of rectangular prism = volume of n cubes = $\frac{27}{64}n\,\,cubic\,\, inches$

You might be interested in

Write one digit on each side of 23 to make a four digit multiple of 72. How many different solutions does this problem have?

user100 [1]

Answer:

This problem has two possible solutions.

2232

7236

Step-by-step explanation:

To be divisible by 72, a number has:

To be divisible by both 8 and 9 at the same time.

It is divisible by 8 if it's last two digits are divisible by 4.

It is divisible by 9 it the sum of it's digits is a number divisible by 9.

a23b

3b must be divisible by 4. In the thirties, the numbers that are divisible by 4 are 32 and 36. So b = 2 or b = 6.

a232

2 + 3 + 2 = 7

The higest possible value of a is 9 and the lowest is 1.

Between 8 and 16, only 9 is divisible by 9. So a = 2.

a = 2, b = 2 is one of the solutions.

a236

2 + 3 + 6 = 11

The higest possible value of a is 9 and the lowest is 1.

Between 12 and 20, only 18 is divisible by 9. So we need a = 7

5 0

3 years ago

2* <br> 7-t<br> 8*y<br> 9=9<br> Which is the equation?

GaryK [48]

Answer:

2+7_t×y+9 je pense que c la reponses

6 0

3 years ago

There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.

Anna35 [415]

Answer:

here is the ratio 1 : 1.25 (sharks: dolphins)

Step-by-step explanation:

8 0

3 years ago

The line represented by 2y = x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has

Mandarinka [93]

Answer:

$k=\frac{1}{2}$

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two lines are similar, then the lines are parallel

Lines parallel have the same slope

we have

Line A

$2y=x+8$

isolate the variable y

$y=0.5x+4$ ----> equation A

The slope of the line A is m=0.5

The y-intercept of the line A is b=4

Line B

$y-\frac{1}{2}x=2$

isolate the variable y

$y=\frac{1}{2}x+2$ ----> equation B

The slope of the line B is m=0.5

The y-intercept of the line B is b=2

Remember that

The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B

$4k=2$

solve for k

$k=\frac{1}{2}$

4 0

4 years ago

Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,−5).

Sav [38]

I’ve attached a photo how to complete the problem of writing out the equation

3 0

3 years ago