Question

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

A square pyramid. The square base has side lengths of 8.2 centimeters. The triangular sides have a height of 10.3 centimeters.
(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

The answer is “A”

Explanation:

Answer 2

(A)
`(8.2)(8.2)+4( (1)/(2))(8.2)(10.3)`

Explanation:

A Square Pyramid has a Square Base and 4 triangular faces.

The Surface Area of a Square Pyramid=Area of Square Base+Area of the 4 Triangular faces

Side Lengths of Square Base=8.2cm

Height of the Triangular faces =10.3cm

Therefore:

Area of the Square Base
`=s^2=8.2^2=(8.2)(8.2)`

Area of one Triangular Face
`=(1)/(2)bh= (1)/(2)*8.2*10.3`

Therefore:

Area of the Pyramid
`=(8.2)(8.2)+4( (1)/(2))(8.2)(10.3)`