Question

Find the surface area of the square pyramid shown below. (Measurements in picture)

Answer 1

160

Explanation:

Answer 2

Given:

Side length of base = 8

Slant height = 6

To find:

The surface area of the square pyramid.

Solution:

Surface area:

`$SA=A+(1)/(2) p s`

where A is the area of base

p is the perimeter of base

s is the slant height

Area of base (A) = 8 × 8

= 64

Perimeter of base(P) = 4 × 8

= 32

Substitute these in the formula:

`$SA=64+(1)/(2) * 32 * 6`

`$SA=64+96`

`$SA=160`

The surface area of the square pyramid is 160 unit².