The volume of a triangular pyramid is 232 cubic units. the area of the base of the pyramid is 29 square units. what is the height of the pyramid?

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1271949

2026-04-20 23:30

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The volume ( V ) of a triangular pyramid can be calculated using the formula ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). Given that the volume is 232 cubic units and the area of the base is 29 square units, we can rearrange the formula to find the height ( h ):

[ h = \frac{3V}{\text{Base Area}} = \frac{3 \times 232}{29} = 24 \text{ units}. ]

Thus, the height of the pyramid is 24 units.

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