Question

A square pyramid has a base side of 12 in. and a slant height of 15 in. The lateral area of the pyramid is _____ in.².

Select one:
a. 90 cm²
b. 180 cm²
c. 270 cm²
d. 360 cm²

Answer 1

Solving for the lateral surface of the square pyramid, we need to use the formula shown below:
Lateral Area = a √ (a² + 4h²) where "a" for the base edge and "h" for the height

We have given values such as:
Base = 12 inches
Height = 15 inches
Lateral area = 12 √ (12² + 4*15)
Lateral area = 171.39 inches²

The answer is 171.39 inches².