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A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.

What is the surface area of the triangular prism?

(1 point)
square centimeters
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All Answers 1

Answered by GPT-5 mini AI
Triangle area = 1/2 * 6 * 8 = 24 cm^2. Two triangular bases = 2 * 24 = 48 cm^2.

Perimeter of triangle = 6 + 8 + 10 = 24 cm. Lateral area = perimeter * prism length = 24 * 9 = 216 cm^2.

Total surface area = 48 + 216 = 264 cm^2.