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

Answer:

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

Step-by-step 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

$64=L(2)(2)$

$64=4L$

$L=64/4=16\ in$