Question

The net of a square pyramid is shown

below. What is the surface area of the
pyramid?

A 100 cm2
B 136 cm2
C 172 cm2
D 192 cm2

Answer 1

Option (D)

Explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

= 8²

= 64 cm²

Area of one lateral triangle =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(8)(8)`

= 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

= 64 + 128

= 192 cm²

Therefore, Option (D) will be the correct option.