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Find the volume of a pyramid with a square base, where the side length of the base is
14.4m and the height of the pyramid is
15.3m. Round your answer to the nearest tenth of a cubic meter.

Find the volume of a pyramid with a square base, where the side length of the base is $14.4 \mathrm{~m}$ and the height of the pyramid is $15.3 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter.

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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

14.4 \mathrm{~m}

and the height of the pyramid is

15.3 \mathrm{~m}

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

Write Dimensions: Write down the given dimensions. $\newline$ Side length of base = $14.4\,\text{m}$ , Height of pyramid = $15.3\,\text{m}$ .
Use Volume Formula: Use the formula for the volume of a pyramid, $V = \frac{1}{3} \times \text{base area} \times \text{height}$ .
Calculate Base Area: Calculate the area of the square base, $\text{Area} = \text{side length} \times \text{side length}$ . $\text{Area} = 14.4 \, \text{m} \times 14.4 \, \text{m}$ .
Plug into Formula: Perform the multiplication to find the base area. $\newline$ Base area = $207.36\,\text{m}^2$ .
Calculate Volume: Plug the base area and height into the volume formula. $V = (\frac{1}{3}) \times 207.36 \, \text{m}^2 \times 15.3 \, \text{m}$ .
Calculate Volume: Plug the base area and height into the volume formula. $\newline$ $V = \frac{1}{3} \times 207.36 \, \text{m}^2 \times 15.3 \, \text{m}$ .Calculate the volume. $\newline$ $V = \frac{1}{3} \times 207.36 \times 15.3$ . $\newline$ $V = 69.12 \times 15.3$ . $\newline$ $V = 1057.536 \, \text{m}^3$ .

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