Question

The formula for the volume of a pyramid is V = (1/3) * Bh, where h is the height of the pyramid and B is the area of the base. Rewrite the formula in terms of B, the area of the base.

A: V = (1/3) * B/h
B: V = Bh
C: B = (3V)/h
D: B = 3Vh

Answer 1

To rewrite the formula for the volume of a pyramid in terms of the area of the base, the equation is rearranged to B = (3V)/h, which is option C.

Step-by-step explanation:

The formula for the volume of a pyramid is given by V = (1/3) * Bh, where V is the volume, B is the area of the base, and h is the height of the pyramid. To rewrite the formula in terms of the area of the base B, we need to isolate B. Multiplying both sides of the equation by 3 and then dividing by h gives us the rearranged formula: B = (3V)/h. Therefore, the correct answer is option C.