Question

Each cube in this rectangular prism is 1 cm3.

What is the volume of the rectangular prism?

A.40 cm3

B.20 cm3

C.48 cm3

D.9 cm3

Answer 1

Option B. 20 cm³

Explanation:

step 1

Find the length side of the cube

we know that

The volume of a cube is equal to

`V=b^3`

where

b is the length side of the cube

we have

`V=1\ cm^3`

substitute in the formula

`1=b^3`

solve for b

`b=1\ cm`

step 2

Find the dimensions of the rectangular prism

Multiply the number of cubes in each dimension by the length side of the cube

we have that

`L=2(1)=2\ cm\\W=5(1)=5\ cm\\H=2(1)=2\ cm`

step 3

Find the volume of the rectangular prism

The volume of the rectangular prism is equal to

`V=LWH`

substitute the values

`V=(2)(5)(2)=20\ cm^3`