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If X = 9 units, Y = 7 units, Z = 18 units, and h = 8 units, what is the surface area of the triangular prism shown above?

If X = 9 units, Y = 7 units, Z = 18 units, and h = 8 units, what is the surface area-example-1
User Chellie
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1 Answer

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Answer: 506 square units (answer choice B)

Explanation:

The formula for the surface area of a triangular prism is:

SA = bh + 2ls + lb,

where b is the base, h is the height, l is the length, and s is the side of the triangle.

In this case, the base is 7 (Y), the height is 8 (h), the length is 18 (Z), and the side of the triangle is 9 (X).

So, by subsituition, we have:

SA = (7)(8) + 2(18)(9) + (18)(7)

SA = 56 + 324 + 126

SA = 506

The surface area is 506 square units.

Hope this helps! :)

User Nathan Whitehead
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