Question

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

a
48 in²

b
105 in²


c
96 in²

d
57 in²

Answer 1

48 in

Explanation:

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Answer 2

lateral surface area = 48 inches²

Explanation:

The picture below is the square base pyramid you are referring. The lateral area is adding the area of the 4 triangles in the pyramid.

area of a triangle = 1/2 × b × h

The slant height of the triangle is gotten using Pythagoras theorem

lateral surface area = 4 × (1/2 × 3 × 8)

lateral surface area = 4 × 24/2

lateral surface area = 4 × 12

lateral surface area = 48 inches²