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Find the volume of a rectangular prism with a length of
5.1in, a width of
11.4in and a height of
7.9in, to the nearest tenth of a cubic inch.
Answer: in
^(3)

Find the volume of a rectangular prism with a length of $5.1$ $\mathrm{in}$ , a width of $11.4$ $\mathrm{in}$ and a height of $7.9$ $\mathrm{in}$ , 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

5.1

\mathrm{in}

, a width of

11.4

\mathrm{in}

and a height of

7.9

\mathrm{in}

, to the nearest tenth of a cubic inch.

\newline

Answer:

\text{in}

^{3}

Identify Formula: To find the volume of a rectangular prism, we use the formula $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ . We have been given the dimensions of the prism as $\text{Length} = 5.1$ inches, $\text{Width} = 11.4$ inches, and $\text{Height} = 7.9$ inches.
Calculate Volume: Now we will calculate the volume using the given dimensions: Volume = $5.1$ inches $\times$ $11.4$ inches $\times$ $7.9$ inches.
Perform Multiplication: Performing the multiplication: $\text{Volume} = 5.1 \times 11.4 \times 7.9 = 457.974$ cubic inches.
Round to Nearest Tenth: We need to round the volume to the nearest tenth of a cubic inch. The calculated volume is $457.974$ cubic inches, which rounds to $458.0$ cubic inches when rounded to the nearest tenth.

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