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faust18 [17]
2 years ago
7

Use a net to find the surface area of the right triangular prism shown:

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
3 0

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

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