Question

question 7 of 10
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. $v = bh$
c. $v = \frac{1}{3}bh^{2}$
d. $v = -\frac{1}{3}bh$
submit

Explanation:

Step1: Recall the volume formula of a pyramid

The volume formula of a pyramid is \( V = \frac{1}{3}\times\text{Base Area}\times\text{Height}\).
If the base area is \( B \) and the height is \( h \), then substituting into the formula gives \( V=\frac{1}{3}Bh \).

Step2: Analyze other options

• Option B (\( V = Bh \)) is the volume formula for a prism (not a pyramid).
• Option C (\( V=\frac{1}{3}Bh^{2} \)) has an incorrect power of \( h \).
• Option D (\( V =-\frac{1}{3}Bh \)) has a wrong negative sign (volume cannot be negative in this context as \( B>0 \) and \( h>0 \)).

Answer:

A. \( V=\frac{1}{3}Bh \)