Find the volume of a pyramid with a square base, where the side length of the base is 10.6 in and the height of the pyramid is 14.9in. Round your answer to the nearest tenth of a cubic inch. Answer: in ^(3)

Formula Explanation: The formula to find the volume of a pyramid with a square base is V = (1/3) * base_area * height. The base_area for a square is found by squaring the side length of the base.Calculate Base Area: First, calculate the area of the base by squaring the side length of the base, which is 10.6 inches. base_area = side_length^2 = 10.6^2 = 112.36 in^2Volume Formula: Next, use the volume formula with the base area and the height of the pyramid, which is 14.9 inches. V = (1/3) * base_area * height = (1/3) * 112.36 in^2 * 14.9 inPerform Calculation: Now, perform the multiplication and division to find the volume. V = (1/3) * 112.36 * 14.9 ≈ 37.4533 * 14.9 ≈ 558.0547 in^3Round Volume: Finally, round the volume to the nearest tenth of a cubic inch. V ≈ 558.1 in^3

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Find the volume of a pyramid with a square base, where the side length of the base is 10.6 in and the height of the pyramid is
14.9in. Round your answer to the nearest tenth of a cubic inch.
Answer: in
^(3)

Find the volume of a pyramid with a square base, where the side length of the base is $10$ . $6$ $\text{in}$ and the height of the pyramid is $14.9$ $\mathrm{in}$ . Round your answer to the nearest tenth of a cubic inch. $\newline$ Answer: $\text{in}$ $^{3}$

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Grade 6

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

10

6

\text{in}

and the height of the pyramid is

14.9

\mathrm{in}

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

\newline

Answer:

\text{in}

^{3}

Formula Explanation: The formula to find the volume of a pyramid with a square base is $V = (\frac{1}{3}) \times \text{base\_area} \times \text{height}$ . The $\text{base\_area}$ for a square is found by squaring the side length of the base.
Calculate Base Area: First, calculate the area of the base by squaring the side length of the base, which is $10.6$ inches. $\text{base\_area} = \text{side\_length}^2 = 10.6^2 = 112.36 \text{ in}^2$
Volume Formula: Next, use the volume formula with the base area and the height of the pyramid, which is $14.9$ inches. $V = \left(\frac{1}{3}\right) \times \text{base\_area} \times \text{height} = \left(\frac{1}{3}\right) \times 112.36 \text{ in}^2 \times 14.9 \text{ in}$
Perform Calculation: Now, perform the multiplication and division to find the volume. $V = (\frac{1}{3}) \times 112.36 \times 14.9 \approx 37.4533 \times 14.9 \approx 558.0547 \, \text{in}^3$
Round Volume: Finally, round the volume to the nearest tenth of a cubic inch. $V \approx 558.1 \, \text{in}^3$