Question

quiz 3: volumes of solids
what is the volume of a regular pyramid having a base area of 24 square inches and height of 6 inches?
48 in³
60 in³
144 in³
120 in³

Explanation:

Step1: Recall pyramid volume formula

The volume \( V \) of a pyramid is given by \( V = \frac{1}{3}Bh \), where \( B \) is the base area and \( h \) is the height.

Step2: Substitute values into formula

Here, \( B = 24 \) square inches and \( h = 6 \) inches. So, \( V=\frac{1}{3}\times24\times6 \).

Step3: Calculate the volume

First, \( \frac{1}{3}\times24 = 8 \), then \( 8\times6 = 48 \). So the volume is \( 48 \) cubic inches.

Answer:

48 in³ (the first option with the dotted circle)