Question

find the volume of the pyramid
9 cm
6 cm
6 cm
volume =

Explanation:

Step1: Recall Pyramid Volume Formula

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

Step2: Calculate Base Area (\( B \))

The base is a square with side length \( 6 \, \text{cm} \). The area of a square is \( B = s^2 \), so \( B = 6^2 = 36 \, \text{cm}^2 \).

Step3: Substitute Values into Formula

We know \( h = 9 \, \text{cm} \) and \( B = 36 \, \text{cm}^2 \). Substitute into \( V = \frac{1}{3}Bh \):
\( V = \frac{1}{3} \times 36 \times 9 \).
First, \( \frac{1}{3} \times 36 = 12 \), then \( 12 \times 9 = 108 \).

Answer:

\( 108 \, \text{cubic centimeters} \) (or \( 108 \, \text{cm}^3 \))