Question

A rectangular pyramid has a base with sides 10 ft. and 7 ft. The slant height where the base has the longer side is 7 ft., and the slant height where the base has the shorter side is 8 ft. Which of the following correctly calculates the surface area of the pyramid?(1 point)
Responses

196 ft.2

196 ft. squared

70 ft.2

70 ft. squared

126 ft.2

126 ft. squared

202 ft.2

Answer 1

Base area = 10·7 = 70 ft².
Two triangles with base 10 and slant height 7: 2·(1/2·10·7) = 70 ft².
Two triangles with base 7 and slant height 8: 2·(1/2·7·8) = 56 ft².
Total surface area = 70 + 70 + 56 = 196 ft².

Answer: 196 ft².