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 14 inches. Net A has 3 rectangles having dimensions 5 by 14, 14 by 12, and 14 by 13, and two triangles having legs 5 inches and 12 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 14, 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?
please pick from the three answers below

Net A with 420 square inches

Net A with 480 square inches

Net B with 510 square inches

Net B with 534 square inches

Answer 1

The answer is B Net B with 480 square inches. I took the test and got it right. Have a great dday.

Explanation:

Answer 2

Option B. Net A with 480 square inches.

Explanation:

The net for triangular prism consists of

2 identical triangles, here all nets have sides 5", 12", and 13".

3 rectangles, all with a common dimension: the Length or height

H=14 inches of the prism.

Each of the 3 rectangles should have dimensions

H=14 plus one of the following:

each of 5, 12, 13 corresponding to one side of the base (triangle).

So the dimensions of the rectangles are

5 × 14, 12 × 14, 13 × 14

And dimensions of the triangles are

5,12 and 13.

The total surface area is therefore

(5+12+13)×14 + 2×(5×12/2)

(30)(14)+2(60/2)

= 420+2(60/2)

= 420+2(30)

= 420+60

= 480 square inches.

Net A with 480 square inches is the correct net of the prism.