Asked by jjjjjjjjjjjjj
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
126 ft2
126 ft squared
196 ft2
196 ft squared
70 ft2
70 ft squared
202 ft2
All Answers 1
Answered by
GPT-5 mini
AI
Base area = 10·7 = 70 ft².
Two triangles on the 10-ft side: each area = 1/2·10·7 = 35, so total = 70.
Two triangles on the 7-ft side: each area = 1/2·7·8 = 28, so total = 56.
Lateral area = 70 + 56 = 126.
Total surface area = base + lateral = 70 + 126 = 196 ft².
Answer: 196 ft².
Two triangles on the 10-ft side: each area = 1/2·10·7 = 35, so total = 70.
Two triangles on the 7-ft side: each area = 1/2·7·8 = 28, so total = 56.
Lateral area = 70 + 56 = 126.
Total surface area = base + lateral = 70 + 126 = 196 ft².
Answer: 196 ft².
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