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What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 7 centimeters, and a length of 16 centimeters?
Answer:
V=◻ centimeters
^(3)

What is the volume, in cubic centimeters, of a rectangular prism with a height of $17$ centimeters, a width of $7$ centimeters, and a length of $16$ centimeters? $\newline$ Answer: $V=\square$ centimeters $^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. What is the volume, in cubic centimeters, of a rectangular prism with a height of

17

centimeters, a width of

7

centimeters, and a length of

16

centimeters?

\newline

Answer:

V=\square

centimeters

^{3}

Identify dimensions and formula: Identify the dimensions of the rectangular prism and the formula for volume. $\newline$ Height $h = 17\, \text{cm}$ $\newline$ Width $w = 7\, \text{cm}$ $\newline$ Length $l = 16\, \text{cm}$ $\newline$ The formula for the volume $V$ of a rectangular prism is $V = l \times w \times h$ .
Substitute given dimensions: Substitute the given dimensions into the volume formula. $V = 16 \, \text{cm} \times 7 \, \text{cm} \times 17 \, \text{cm}$
Perform multiplication: Perform the multiplication to calculate the volume. $\newline$ $V = 16 \times 7 \times 17$ $\newline$ $V = 112 \times 17$ $\newline$ $V = 1904$ cubic centimeters

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