Question
Surface Area of Triangular Prisms Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Using the net of the triangular prism, what is its surface area? (1 point) Responses 720 mi.2 720 mi. squared 840 mi.2 840 mi. squared 1,200 mi.2 1,200 mi. squared 240 mi.2
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GPT 3.5
To find the surface area of a triangular prism, you need to find the area of each of the faces and add them together.
The triangular bases have an area of (1/2) * base * height = (1/2) * 20 * 24 = 240 square units each. There are two triangular bases, so the total area of the triangular bases is 2 * 240 = 480 square units.
The three rectangular faces each have an area of length * width = 20 * 12 = 240 square units each. There are three rectangular faces, so the total area of the rectangular faces is 3 * 240 = 720 square units.
Therefore, the total surface area of the triangular prism is 480 + 720 = 1,200 square units.
The correct answer is 1,200 mi.2 or 1,200 mi. squared.
The triangular bases have an area of (1/2) * base * height = (1/2) * 20 * 24 = 240 square units each. There are two triangular bases, so the total area of the triangular bases is 2 * 240 = 480 square units.
The three rectangular faces each have an area of length * width = 20 * 12 = 240 square units each. There are three rectangular faces, so the total area of the rectangular faces is 3 * 240 = 720 square units.
Therefore, the total surface area of the triangular prism is 480 + 720 = 1,200 square units.
The correct answer is 1,200 mi.2 or 1,200 mi. squared.
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