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A rectangular prism has a length of
9cm, a height of
17cm, and a width of
4cm. What is its volume, in cubic cm?
Answer:
V=◻cm^(3)

A rectangular prism has a length of $9 \mathrm{~cm}$ , a height of $17 \mathrm{~cm}$ , and a width of $4 \mathrm{~cm}$ . What is its volume, in cubic cm? $\newline$ Answer: $V=\square \mathrm{cm}^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A rectangular prism has a length of

9 \mathrm{~cm}

, a height of

17 \mathrm{~cm}

, and a width of

4 \mathrm{~cm}

. What is its volume, in cubic cm?

\newline

Answer:

V=\square \mathrm{cm}^{3}

Identify dimensions and formula: Identify the dimensions of the rectangular prism and the formula for volume. $\newline$ Length $l = 9\, \text{cm}$ $\newline$ Width $w = 4\, \text{cm}$ $\newline$ Height $h = 17\, \text{cm}$ $\newline$ The formula for the volume $V$ of a rectangular prism is $V = l \times w \times h$ .
Calculate volume: Calculate the volume using the given dimensions. $\newline$ Volume = $9 \, \text{cm} \times 4 \, \text{cm} \times 17 \, \text{cm}$
Perform multiplication: Perform the multiplication to find the volume. $\newline$ Volume = $9 \times 4 \times 17$ $\newline$ Volume = $36 \times 17$ $\newline$ Volume = $612$ cubic centimeters.

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