What is the surface area of a square pyramid where the base edge is 8 It. and the slant height is 16 ft.?

Question

250ft .^ 2

128f * L ^ 2

512 ft^ 2

320n ^ 2

Answer 1

The formula for the surface area of a square pyramid is given by:

Surface Area = Base Area + 4 * (1/2 * Base Edge * Slant Height)

In this case, the base edge is given as 8 ft. and the slant height is given as 16 ft.

Base Area = (Base Edge)^2 = 8^2 = 64 ft^2

Surface Area = 64 ft^2 + 4 * (1/2 * 8 ft * 16 ft)

Simplifying this expression:

Surface Area = 64 ft^2 + 4 * 8 ft * 16 ft

Surface Area = 64 ft^2 + 512 ft^2

Surface Area = 576 ft^2

Therefore, the surface area of the square pyramid is 576 ft^2.