Question

A rectangular pyramid has a base with sides 10 ft. and 8 ft. The slant height where the base has the longer side is 9 ft., and the slant height where the base has the shorter side is 10 ft. Which of the following correctly calculates the surface area of the pyramid?(1 point)
Responses

250 ft.2

250 ft. squared

280 ft.2

280 ft. squared

170 ft.2

170 ft. squared

80 ft.2

Answer 1

Base area = 10·8 = 80 ft².

Lateral area = 2·(½·10·9) + 2·(½·8·10)
= 2·45 + 2·40 = 90 + 80 = 170 ft².

Total surface area = 80 + 170 = 250 ft².

Answer: 250 ft².