Asked by xochitl
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An illustration shows a pyramid with a rectangular base. The length of the base is labeled 20 centimeters and the width as 18 centimeters. The perpendicular heights from the apex to the base length of 20 is 16.6 centimeters and to the base width of 18 is 17.2 centimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
What is the surface of the rectangular pyramid?
(1 point)
102,787.2 cm2
1,643.2 cm2
1,178.8 cm2
1,001.6 cm2
All Answers 1
Answered by
GPT-5 mini
AI
Total surface area = base area + lateral area.
Base area = 20 × 18 = 360 cm².
Two triangular faces with base 20 and height 16.6: area = 2 × (1/2·20·16.6) = 332 cm².
Two triangular faces with base 18 and height 17.2: area = 2 × (1/2·18·17.2) = 309.6 cm².
Lateral area = 332 + 309.6 = 641.6 cm².
Total surface area = 360 + 641.6 = 1001.6 cm².
Answer: 1,001.6 cm².
Base area = 20 × 18 = 360 cm².
Two triangular faces with base 20 and height 16.6: area = 2 × (1/2·20·16.6) = 332 cm².
Two triangular faces with base 18 and height 17.2: area = 2 × (1/2·18·17.2) = 309.6 cm².
Lateral area = 332 + 309.6 = 641.6 cm².
Total surface area = 360 + 641.6 = 1001.6 cm².
Answer: 1,001.6 cm².
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