Asked by Vaggi
10 cm
10 cm
8 cm
6 cm
10 cm
Solve for the surface area of the triangular prism.
(1 point)
O 320 square centimeters
O 280 square centimeters
180 square centimeters
260 sauare centimeters
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the triangular base as the 6–8–10 right triangle and the prism length (height) as 10 cm.
Area of one triangular base = (1/2)(6)(8) = 24 cm², so both bases = 48 cm².
Perimeter of the triangle = 6 + 8 + 10 = 24 cm, so lateral area = perimeter × prism length = 24 × 10 = 240 cm².
Total surface area = lateral area + 2·(base area) = 240 + 48 = 288 cm².
288 square centimeters is the correct surface area — this is not among the given choices.
Area of one triangular base = (1/2)(6)(8) = 24 cm², so both bases = 48 cm².
Perimeter of the triangle = 6 + 8 + 10 = 24 cm, so lateral area = perimeter × prism length = 24 × 10 = 240 cm².
Total surface area = lateral area + 2·(base area) = 240 + 48 = 288 cm².
288 square centimeters is the correct surface area — this is not among the given choices.
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