What is the lateral surface area of the square pyramid below? A. 48 B. 105 C. 96 square inches D. 57 square inches

Question

asked Feb 9, 2021 70.0k views

1 Answer

Kaloyan Dimitrov · Answer 1 · 2021-02-13T23:43:00+0000

Answer:

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

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=
$48\,\,inch^2$