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Find the volume of a pyramid with a square base, where the area of the base is
15.4m^(2) and the height of the pyramid is
15.6m. Round your answer to the nearest tenth of a cubic meter.
Answer:
m^(3)

Find the volume of a pyramid with a square base, where the area of the base is $15.4 \mathrm{~m}^{2}$ and the height of the pyramid is $15.6 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Find the volume of a pyramid with a square base, where the area of the base is

15.4 \mathrm{~m}^{2}

and the height of the pyramid is

15.6 \mathrm{~m}

. Round your answer to the nearest tenth of a cubic meter.

\newline

Answer:

\mathrm{m}^{3}

Identify Formula: Identify the formula for the volume of a pyramid. The volume $V$ of a pyramid is one-third the base area $B$ times the height $h$ . $V = \left(\frac{1}{3}\right) \times B \times h$
Substitute Values: Given the area of the base $B$ is $15.4$ square meters and the height $h$ of the pyramid is $15.6$ meters, substitute these values into the formula. $V = \left(\frac{1}{3}\right) \times 15.4\,\text{m}^2 \times 15.6\,\text{m}$
Calculate Volume: Calculate the volume using the given values. $\newline$ $V = \frac{1}{3} \times 15.4 \times 15.6$ $\newline$ $V = 5.133333\ldots \times 15.6$ $\newline$ $V = 80.080000\ldots$ cubic meters
Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic meter. $V \approx 80.1 \, \text{m}^3$

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