A triangular prism has a height of 1.5 inches and right triangular bases with a height of 1.5 inches, length of 5 inches, and a hypotenuse measuring 5.22 inches.

What is the prism's surface area?
(1 point)
• 24.75 in.?
• 25.41 in.?
• 30.33 in.?
• 25.08 in.?

1 answer

The surface area of a triangular prism can be calculated by finding the area of the two triangular bases and the three rectangular faces and then adding them together.

Area of a triangle = 0.5 * base * height

Area of each triangular base = 0.5 * 5 * 1.5 = 3.75 sq. in.

Area of the three rectangular faces = (5 * 1.5) + (5.22 * 1.5) + (5.22 * 5) = 7.5 + 7.83 + 26.1 = 41.43 sq. in.

Total surface area = 2(3.75) + 41.43 = 7.5 + 41.43 = 48.93 sq. in.

Therefore, the correct answer is not provided in the options.
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