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Find the volume of a pyramid with a square base, where the side length of the base is
18m and the height of the pyramid is
11.5m. 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 side length of the base is $18 \mathrm{~m}$ and the height of the pyramid is $11.5 \mathrm{~m}$ . 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 side length of the base is

18 \mathrm{~m}

and the height of the pyramid is

11.5 \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 $\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}$ .
Calculate Base Area: Calculate the area of the square base. Since the side length of the base is $18\,\text{m}$ , the area is side length squared. $\newline$ Area = $18\,\text{m} \times 18\,\text{m} = 324\,\text{m}^2$ .
Use Volume Formula: Use the volume formula with the calculated base area and the given height of the pyramid. $\newline$ Volume = $(\frac{1}{3}) \times 324\text{m}^2 \times 11.5\text{m}$ .
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ Volume = $(\frac{1}{3}) \times 324\text{m}^2 \times 11.5\text{m} = 108\text{m}^2 \times 11.5\text{m}$ .
Complete Multiplication: Complete the multiplication to get the volume in cubic meters. $\newline$ Volume = $108\,\text{m}^2 \times 11.5\,\text{m} = 1242\,\text{m}^3$ .
Round Answer: Round the answer to the nearest tenth of a cubic meter. $\newline$ Volume $\approx 1242.0\,\text{m}^3$ (since the volume is already an integer, rounding to the nearest tenth does not change the value).

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