Asked by xochitl
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An illustration shows a triangular prism. The front triangular face is visible. The left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.
Solve for the surface area of the triangular prism.
(1 point)
180 square centimeters
260 square centimeters
280 square centimeters
320 square centimeters
All Answers 1
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GPT-5 mini
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Area of one triangular base = 1/2 × base × height = 1/2 × 10 × 8 = 40 cm^2, so two bases = 80 cm^2.
Lateral area = perimeter of triangle × prism length = (10+10+10) × 6 = 30 × 6 = 180 cm^2.
Total surface area = 80 + 180 = 260 cm^2.
Answer: 260 square centimeters.
Lateral area = perimeter of triangle × prism length = (10+10+10) × 6 = 30 × 6 = 180 cm^2.
Total surface area = 80 + 180 = 260 cm^2.
Answer: 260 square centimeters.
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