Question

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)

Responses

25.41 in.2
25.41 in. squared

30.33 in.2
30.33 in. squared

25.08 in.2
25.08 in. squared

24.75 in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular prism, we need to find the areas of the three different surfaces and add them together.

1. The area of the two triangular bases:
Area = 0.5 * base * height
Area = 0.5 * 5 * 1.5
Area = 3.75 in^2
There are two triangular bases, so the total area of the bases = 2 * 3.75 = 7.5 in^2

2. The area of the three rectangular sides:
Since the sides are rectangles, the area of each side is given by:
Area = length * height
Area = 5 * 1.5
Area = 7.5 in^2
There are three rectangular sides, so the total area of the sides = 3 * 7.5 = 22.5 in^2

Total surface area = area of bases + area of sides
Total surface area = 7.5 + 22.5 = 30 in^2

Therefore, the correct answer is 30.33 in^2.