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Find the volume of a rectangular prism with a length of 20 in, a width of 15.8 in and a height of 18.3 in, to the nearest tenth of a cubic inch.
Answer: in
^(3)

Find the volume of a rectangular prism with a length of $20$ $\text{in}$ , a width of $15$ . $8$ $\text{in}$ and a height of $18$ . $3$ $\text{in}$ , 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

20

\text{in}

, a width of

15

.

8

\text{in}

and a height of

18

.

3

\text{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 $l = 20$ in $\newline$ Width $w = 15.8$ in $\newline$ Height $h = 18.3$ in $\newline$ 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 = $20 \, \text{in} \times 15.8 \, \text{in} \times 18.3 \, \text{in}$
Perform multiplication: Perform the multiplication to find the volume. $\newline$ Volume = $20 \times 15.8 \times 18.3$ $\newline$ Volume = $5784 \, \text{in}^3$ (This is the exact volume before rounding)
Round to nearest tenth: Round the volume to the nearest tenth of a cubic inch. $\newline$ Volume $\approx 5784.0 \, \text{in}^3$ (Rounded to the nearest tenth)

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