A pyramid has a height of 18 centimeters and a base with an area of 26 square centimeters. We need to find the volume of the pyramid.

1. Problem Description

A pyramid has a height of 18 centimeters and a base with an area of 26 square centimeters. We need to find the volume of the pyramid.

2. Solution Steps

The formula for the volume $V$ of a pyramid is given by:

$V = \frac{1}{3} \times B \times h$

where $B$ is the area of the base and $h$ is the height of the pyramid.

In this problem, we are given that the height $h = 18$ cm and the base area $B = 26$ square cm.

Substituting these values into the formula, we have:

$V = \frac{1}{3} \times 26 \times 18$

$V = \frac{1}{3} \times 468$

$V = 156$ cubic centimeters.

3. Final Answer

The volume of the pyramid is 156 $cm^3$.