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What’s the lateral area of this

What’s the lateral area of this-example-1

1 Answer

1 vote

Answer:

240 in²

Explanation:

You want the lateral area of a triangular prism with triangular base having sides 6 in, 8 in, and 10 in, and a distance between them of 10 in.

Lateral area

The lateral area of a triangular prism is the area of the three rectangular faces. The width of those faces is the "height" of the prism, given as 10 in. The total length of those faces is the perimeter of the base:

6 in + 8 in + 10 in = 24 in

The lateral area is ...

A = LW = (24 in)(10 in) = 240 in²

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