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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.

Respuesta :

calculista

Answer:

The length of the rectangular prism is [tex]16\ in[/tex]

Step-by-step explanation:

step 1

Find the volume of the 64 1-inch cubic blocks

The volume of one cubic block is

[tex]V=(1)^{3}=1\ in^{3}[/tex]

so

the volume of 64 cubic blocks is

[tex]V=64(1)=64\ in^{3}[/tex]

step 2

Find the length of the rectangular prism

The volume of the rectangular prism is equal to

[tex]V=LWH[/tex]

we have

[tex]V=64\ in^{3}[/tex]

[tex]W=2\ in[/tex]

[tex]H=2\ in[/tex]

substitute and solve for L

[tex]64=L(2)(2)[/tex]

[tex]64=4L[/tex]

[tex]L=64/4=16\ in[/tex]

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