Question

the square pyramid below has a height of 12 centimeters and a slant height of 20 centimeters. the square base of the pyramid has side lengths of 32 centimeters. what is the lateral area of the pyramid? 384 cm² 640 cm² 768 cm² 1280 cm²

Explanation:

Step1: Recall lateral - area formula

The lateral - area formula for a square pyramid is $L = 2bs$, where $b$ is the base side length and $s$ is the slant height.

Step2: Identify values

We are given that $b = 32$ cm and $s=20$ cm.

Step3: Substitute values into formula

$L = 2\times32\times20$.
First, $2\times32 = 64$, then $64\times20=1280$ $cm^{2}$.

Answer:

$1280$ $cm^{2}$