Question

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A rectangular prism has a length of 3 inches, a width of 5 inches, and a height of
1 inches
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
12.5 in
Basic
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Answer 1

Part 1) 15 cubic inches

Part 2)
`26.25\ in^3` or
`26(1)/(4)\ in^3`

Explanation:

Part 1) A rectangular prism has a length of 3 inches, a width of 5 inches, and a height of 1 inches.

What is the volume of the prism?

we know that

The volume of the rectangular prism is equal to

`V=LWH`

substitute the given values

`V=(3)(5)(1)=15\ in^3`

Part 2)

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.

What is the volume of the prism?

we know that

The volume of the rectangular prism is equal to

`V=LWH`

we have

`L=3(1)/(2)= 3+(1)/(2)=(7)/(2)\ in`

`W=5\ in`

`H=1(1)/(2)= 1+(1)/(2)=(3)/(2)\ in`

substitute

`V=((7)/(2))(5)((3)/(2))=(105)/(4)=26.25\ in^3`

Convert to mixed number

`26.25\ in^3=26(1)/(4)\ in^3`