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.
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Answer 1

Answer:

Part 1) 15 cubic inches

Part 2) $26.25\ in^3$  or  $26\frac{1}{4}\ in^3$

Step-by-step 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

$L=3\frac{1}{2}= 3+\frac{1}{2}=\frac{7}{2}\ in$

$W=5\ in$

$H=1\frac{1}{2}= 1+\frac{1}{2}=\frac{3}{2}\ in$

substitute

$V=(\frac{7}{2})(5)(\frac{3}{2})=\frac{105}{4}=26.25\ in^3$

Convert to mixed number

$26.25\ in^3=26\frac{1}{4}\ in^3$