If the height of a pyramid is doubled while base area remains the same, by what factor does the volume increase?

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Multiple Choice

If the height of a pyramid is doubled while base area remains the same, by what factor does the volume increase?

Explanation:
Volume scales with height in the pyramid formula, since V = (1/3) × base_area × height. If the base area stays the same and you double the height, the volume becomes V_new = (1/3) × base_area × (2h) = 2 × [(1/3) × base_area × h] = 2V. So the volume increases by a factor of 2.

Volume scales with height in the pyramid formula, since V = (1/3) × base_area × height. If the base area stays the same and you double the height, the volume becomes V_new = (1/3) × base_area × (2h) = 2 × [(1/3) × base_area × h] = 2V. So the volume increases by a factor of 2.

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