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Find the volume of a rectangular prism with a length of
12.2in, a width of 14 in and a height of
7.1in, to the nearest tenth of a cubic inch.
Answer: in
^(3)

Find the volume of a rectangular prism with a length of $12.2$ $\mathrm{in}$ , a width of $14$ $\text{in}$ and a height of $7.1$ $\mathrm{in}$ , to the nearest tenth of a cubic inch. $\newline$ Answer: $\text{in}$ $^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Find the volume of a rectangular prism with a length of

12.2

\mathrm{in}

, a width of

14

\text{in}

and a height of

7.1

\mathrm{in}

, to the nearest tenth of a cubic inch.

\newline

Answer:

\text{in}

^{3}

Identify dimensions and formula: Identify the dimensions of the rectangular prism and the formula for volume. $\newline$ Length = $12.2$ in $\newline$ Width = $14$ in $\newline$ Height = $7.1$ in $\newline$ The formula for the volume of a rectangular prism is Volume = Length $\times$ Width $\times$ Height.
Calculate volume: Calculate the volume using the given dimensions. $\newline$ Volume = $12.2 \, \text{in} \times 14 \, \text{in} \times 7.1 \, \text{in}$
Perform multiplication: Perform the multiplication to find the volume. $\newline$ Volume = $12.2 \times 14 \times 7.1$ $\newline$ Volume = $1214.14$ cubic inches before rounding.
Round to nearest tenth: Round the volume to the nearest tenth of a cubic inch. $\newline$ Volume $\approx 1214.1$ cubic inches (rounded to the nearest tenth).

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