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Find the volume of a pyramid with a square base, where the area of the base is
17.9m^(2) and the height of the pyramid is
25.6m. 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 $17.9 \mathrm{~m}^{2}$ and the height of the pyramid is $25.6 \mathrm{~m}$ . 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

17.9 \mathrm{~m}^{2}

and the height of the pyramid is

25.6 \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 with a square base. The formula is $\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}$ .
Plug Values: Given the area of the base is $17.9$ square meters ( $\text{m}^2$ ) and the height of the pyramid is $25.6$ meters ( $\text{m}$ ), plug these values into the formula. $\newline$ Volume $= \frac{1}{3} \times 17.9 \text{m}^2 \times 25.6 \text{m}$
Calculate Volume: Calculate the volume by performing the multiplication and division. $\newline$ Volume = $(\frac{1}{3}) \times 17.9 \times 25.6$ $\newline$ Volume = $5.96666667 \times 25.6$ $\newline$ Volume \approx $152.74666672$ cubic meters $(m^3)$
Round Volume: Round the volume to the nearest tenth of a cubic meter. Volume $\approx 152.7 \, \text{m}^3$

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