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2 years ago

PLEASE HELP! Find the surface area of the right triangular prism.

Mathematics

1 answer:

slega [8]2 years ago

4 0

Answer:

1200 in²

Step-by-step explanation:

The surface area of the prism is the sum of the lateral area and the areas of the bases.

<h3>lateral area</h3>

The lateral area is the total area of the three rectangular faces. It can be computed from ...

LA = Ph

where P is the perimeter of the triangular base, and h is the height of the prism (the distance between triangular bases).

The perimeter is the sum of the edge lengths of the base:

P = 30 in + 17 in + 17 in = 64 in

Then the lateral area is ...

LA = (64 in)(15 in) = 960 in²

The two bases are congruent triangles, so have a total area of ...

A = 2(1/2bh) = bh

where b is the base of the triangle, and h is its height.

A = (30 in)(8 in) = 240 in²

<h3>total surface area</h3>

The sum of lateral area and base area is ...

total area = (960 in²) +(240 in²) = 1200 in²

The surface area of the triangular prism is 1200 square inches.

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