A triangular prism has a height of 1.5 inches and right triangular bases with a height of 1.5 inches, length of 5 inches, and a hypotenuse measuring 5.22 inches. What is the prism's surface area? (1 point)

Question

Responses

25.41 in.2
25.41 in. squared

24.75 in.2
24.75 in. squared

25.08 in.2
25.08 in. squared

30.33 in.2

Answer 1

The surface area of a triangular prism is given by the formula:
Surface Area = 2(base area) + (perimeter of base) * height

First, we need to find the area of the triangular base using the formula for a right triangle:
Area = 1/2 * base * height
Area = 1/2 * 5 * 1.5
Area = 3.75 in^2

Next, we calculate the perimeter of the triangular base:
Perimeter = 5 + 1.5 + 5.22
Perimeter = 11.72 inches

Now we can find the total surface area of the prism:
Surface Area = 2(3.75) + 11.72 * 1.5
Surface Area = 7.5 + 17.58
Surface Area = 25.08 in^2

Therefore, the prism's surface area is 25.08 in^2.

Correct answer: 25.08 in.2 (or 25.08 in. squared)