Question

use the image to answer the question.

Explanation:

Assuming the question is to find the volume of the square pyramid (since it's a pyramid with a square base of side 8 in and height 6 in).

Step1: Recall the volume formula for a pyramid

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 the area of the square base

The base is a square with side length \( s = 8 \) in. The area of a square is \( B = s^2 \), so \( B = 8^2 = 64 \) square inches.

Step3: Substitute \( B \) and \( h \) into the volume formula

We know \( h = 6 \) in and \( B = 64 \) in². Substituting into \( V = \frac{1}{3}Bh \), we get \( V = \frac{1}{3} \times 64 \times 6 \).

Step4: Simplify the expression

First, calculate \( 64 \times 6 = 384 \), then \( \frac{1}{3} \times 384 = 128 \).

Answer:

The volume of the pyramid is \( 128 \) cubic inches.