Question

which of the following is the formula for the volume of a pyramid with base area b and height h? a. $v = -\frac{1}{3}bh$ b. $v = \frac{1}{3}bh^2$ c. $v = \frac{1}{3}bh$ d. $v = bh$

Explanation:

Step1: Recall pyramid volume formula

The standard formula for the volume of a pyramid is one-third the product of its base area and height.

Step2: Match with options

Compare the standard formula to the given choices:

• Option A has a negative value, which is impossible for volume.
• Option B squares the height, which is incorrect.
• Option C matches the standard formula.
• Option D is the volume of a prism, not a pyramid.

Answer:

C. $V=\frac{1}{3}Bh$