Question

Bradley has 64 1-inch cubic blocks.He uses all the blocks to build a rectangular prism that is 2 inches high and 2 inches wide.How long is the rectangular prism?Write your answer below.

Answer 1

The length of the rectangular prism is
`16\ in`

Explanation:

step 1

Find the volume of the 64 1-inch cubic blocks

The volume of one cubic block is

`V=(1)^(3)=1\ in^(3)`

so

the volume of 64 cubic blocks is

`V=64(1)=64\ in^(3)`

step 2

Find the length of the rectangular prism

The volume of the rectangular prism is equal to

`V=LWH`

we have

`V=64\ in^(3)`

`W=2\ in`

`H=2\ in`

substitute and solve for L

`64=L(2)(2)`

`64=4L`

`L=64/4=16\ in`