Question

a pyramid has a base area of 28 cm² and a height of 24.9 cm. what is the volume of the pyramid? enter your answer as a decimal in the box. □ cm³

Explanation:

Step1: Recall the formula for the volume of a pyramid

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

Step2: Substitute the given values into the formula

We are given that \( B = 28\space cm^{2} \) and \( h=24.9\space cm \). Substituting these values into the formula, we get:
\( V=\frac{1}{3}\times28\times24.9 \)
First, calculate \( 28\times24.9 = 697.2 \)
Then, divide by 3: \( V=\frac{697.2}{3}=232.4 \)

Answer:

\( 232.4 \)