Question

Which expression represents the total surface area, in square centimeters, of the square pyramid?

(8.2) (8.2) + 4 (one-half (8.2) (10.3))
(8.2) (8.2) + 4 (one-half (8.2) (11.1))
(8.2) (10.3) + 2 (one-half (10.3) (10.3)) + 2 (one-half (8.2) (10.3))
(8.2) (10.3) + 2 (one-half (10.3) (11.1)) + 2 (one-half (8.2) (11.1))

Answer 1

(8.2) (8.2) + 4 (one-half (8.2) (11.1))

Explanation:

Formula for calculating the surface area of a square based pyramid is expressed as:

Surface area = A + 1/2ps

A is the base area

P is the perimeter of base

S is the slant side.

Since the base of the pyramid is a square, then

Base Area A = L²

A = 8.2²

A = 67.24cm²

Perimeter of square = 4L = 4(8.2)

= 32.8cm

Slant Height = 11.1cm

On substituting the gotten value:

Surface area = 8.2(8.2) + 1/2 [4(8.2 (11.1)]

Based on the solution above, the expression below is correct.

S =(8.2) (8.2) + 4 (one-half (8.2) (11.1))