A triangular prism has a height of 1.5 inches and a right trianglar 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?

Answer 1

The surface area of a triangular prism is given by the formula:

SA = (base area) + 2*(triangle area)

First, calculate the base area using the formula for the area of a right triangle:

Base area = (1/2) * base * height
Base area = (1/2) * 5 * 1.5
Base area = 3.75 square inches

Next, calculate the area of one of the triangular sides:

Triangle area = (1/2) * base * height
Triangle area = (1/2) * 5 * 1.5
Triangle area = 3.75 square inches

Finally, calculate the surface area of the prism:

SA = 3.75 + 2 * 3.75
SA = 3.75 + 7.5
SA = 11.25 square inches

Therefore, the surface area of the triangular prism is 11.25 square inches.