Question

What is the lateral surface area of the square pyramid below?

A. 48

B. 105

C. 96 square inches
D. 57 square inches​

Answer 1

`=4((1)/(2)* Base * Height )\\\\=4((1)/(2) * 3 * 8 )\\\\=4((1)/(2) * 24 )\\\\=4 * 12\\\\=48\,\,inch^2`

Therefore, Lateral surface area of the pyramid=
`48\,\,inch^2`

Explanation:

The lateral surface area of the pyramid is the area of the all of its four triangular faces, excluding base :

Area of a triangle is:

`=(1)/(2) * Base * Height\\`

Base= 3 inches

Height=8 inches

Lateral surface area of the pyramid:

`=4((1)/(2)* Base * Height )\\\\=4((1)/(2) * 3 * 8 )\\\\=4((1)/(2) * 24 )\\\\=4 * 12\\\\=48\,\,inch^2`

Therefore, Lateral surface area of the pyramid=
`48\,\,inch^2`