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A rectangular prism is shown below. What is the volume of the prism?

A
12(3)/(256) cubic inches

B
35(3)/(4) cubic inches

C
48(3)/(64) cubic inches

D
57(3)/(4) cubic inches

A rectangular prism is shown below. What is the volume of the prism? A 12(3)/(256) cubic-example-1
User Aeran
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1 Answer

2 votes

Answer:


\large\boxed{D.\ 57(3)/(8)\ in^3}

Explanation:

Look at the picture.

The little cube has a volume 1/8 in³.

Calculate the number of small cubes, in the same way as we count the volume of a rectangular prism:


V=lwh

l - length (11)

w - width (6)

h - height (7)

Substitute:


V=(11)(6)(7)=462

The volume of the one small cubes is 1/8 in³.

Therefore the toatal volume is:


V=462\left((1)/(8)\ in^3\rifgt)=(462)/(8)\ in^3=57(3)/(8)\ in^3

A rectangular prism is shown below. What is the volume of the prism? A 12(3)/(256) cubic-example-1
User Lethi
by
6.8k points