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

Answer:

Option (D)

Step-by-step 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 = $\frac{1}{2}(\text{Base})(\text{Height})$

                                             = $\frac{1}{2}(8)(8)$

                                             = 32 cm²

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

                                                                              = 64 + 128

                                                                              = 192 cm²

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