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Write and simplify an expression for the volume of a rectangular prism with length
7.5ft, width
wt, and height
4.2ft. What is the volume if the width is
2ft ?

$6$ . Write and simplify an expression for the volume of a rectangular prism with length $7.5 \mathrm{ft}$ , width $\mathrm{wt}$ , and height $4.2 \mathrm{ft}$ . What is the volume if the width is $2 \mathrm{ft}$ ?

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Volume of cubes and rectangular prisms: word problems

Full solution

Q.

6

. Write and simplify an expression for the volume of a rectangular prism with length

7.5 \mathrm{ft}

, width

\mathrm{wt}

, and height

4.2 \mathrm{ft}

. What is the volume if the width is

2 \mathrm{ft}

?

Volume expression: Volume expression: $Volume = Length \times Width \times Height$ .
Plug in values: Plug in the values: Volume = $7.5 \, \text{ft} \times w \, \text{ft} \times 4.2 \, \text{ft}.$
Simplify expression: Simplify the expression: $\text{Volume} = 31.5w$ cubic feet.
Substitute with value: Substitute $w$ with $2$ ft: Volume = $31.5 \times 2$ cubic feet.
Calculate volume: Calculate the volume: Volume = $63$ cubic feet.

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