Question

In the square pyramid below, a = 12 ft and b = 10 ft.

What is the surface area of the square pyramid?
340 square feet
420 square feet
480 square feet
580 square feet

Answer 1

Square Pyramid

Hence , the surface area of the square pyramid is 340 square feet

Explanation:

The square pyramid has a square base

Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.

The surface area of a square pyramid is SA, then

SA = Area of the base +
`(1)/(2)` × P × Sh

where P is the perimeter of the base and Sh is the slant height of the pyramid

P = 4 × 10

SA =
`10^(2) + (1)/(2)`× 40 × 12

SA = 100 + 240

SA= 340 square feet

Hence , the surface area of the square pyramid is 340 square feet