To find the volume \( V \) of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this case:
- The base area is given as \( 17 , \text{m}^2 \)
- The height is given as \( 5 , \text{m} \)
Plugging in the values:
\[ V = \frac{1}{3} \times 17 , \text{m}^2 \times 5 , \text{m} \]
Calculating this step-by-step:
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Multiply the base area by the height: \[ 17 , \text{m}^2 \times 5 , \text{m} = 85 , \text{m}^3 \]
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Now multiply by \( \frac{1}{3} \): \[ V = \frac{1}{3} \times 85 , \text{m}^3 = \frac{85}{3} , \text{m}^3 \approx 28.33 , \text{m}^3 \]
Finally, rounding to the nearest unit:
\[ V \approx 28 , \text{m}^3 \]
Therefore, the volume of the rectangular pyramid is approximately 28 m³.
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