find the volume of a pyramid with a square base, where the area of the base is the 16x16 m and the height of the pyramid is 25.4 mm. round your answer to the nearest tenth of a cubic meter

Convert to Meters: First, we need to convert the height from millimeters to meters to ensure that all units are consistent for the volume calculation. 1 meter = 1000 millimeters So, 25.4 mm = 25.4 / 1000 metersCalculate Height: Now, let's calculate the height in meters. 25.4 mm = 25.4 / 1000 = 0.0254 metersUse Volume Formula: Next, we will use the formula for the volume of a pyramid, which is (1/3) * base area * height. The base area is given as 16x16 meters. So, the volume V = (1/3) * 16 * 16 * 0.0254Calculate Volume: Let's calculate the volume. V = (1/3) * 16 * 16 * 0.0254 = (1/3) * 256 * 0.0254 ≈ 2.16288 cubic metersRound to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic meter. Rounded volume ≈ 2.2 cubic meters

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find the volume of a pyramid with a square base, where the area of the base is the $16\times16\,\text{m}^2$ and the height of the pyramid is $25.4\,\text{mm}$ . round your answer to the nearest tenth of a cubic meter

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

16\times16\,\text{m}^2

and the height of the pyramid is

25.4\,\text{mm}

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

Convert to Meters: First, we need to convert the height from millimeters to meters to ensure that all units are consistent for the volume calculation. $\newline$ $1$ meter $= 1000$ millimeters $\newline$ So, $25.4$ mm $= \frac{25.4}{1000}$ meters
Calculate Height: Now, let's calculate the height in meters. $25.4 \, \text{mm} = \frac{25.4}{1000} = 0.0254 \, \text{meters}$
Use Volume Formula: Next, we will use the formula for the volume of a pyramid, which is $(\frac{1}{3}) \times \text{base area} \times \text{height}$ . The base area is given as $16\times16$ meters. So, the volume $V = (\frac{1}{3}) \times 16 \times 16 \times 0.0254$
Calculate Volume: Let's calculate the volume. $\newline$ $V = \frac{1}{3} \times 16 \times 16 \times 0.0254 = \frac{1}{3} \times 256 \times 0.0254 \approx 2.16288$ cubic meters
Round to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic meter. $\newline$ Rounded volume $\approx 2.2$ cubic meters