Question

A triangular prism and two nets are shown:

A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 18 inches. Net A has 3 rectangles having dimensions 5 by 18, 18 by 12, and 18 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 18, and two triangles having legs 5 inches and 12 inches.

Which is the correct net of the prism and what is the surface area of the prism?

Answer 1

The surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

What is a triangular prism?

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given a triangular prism with its net.

After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.

The surface area of the triangular prism:

$= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14$

After solving:

The surface area = 480 square inches.

Thus, the surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

Learn more about triangular prisms here:

brainly.com/question/16909441

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