Question

# The base of a triangular prism is a right triangle with a base of 10 inches, a height of 24 inches, and a third side length of 26 inches. The height of the prism is 20 inches. Find the surface area of the prism.

Answer

1440 square inches

- Q:What is the formula for the surface area of a triangular prism? A:The formula for the surface area of a triangular prism is SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
- Q:What is the area of the base of the triangular prism? A:The area of the base of the triangular prism is 1/2 x base x height = 1/2 x 10 x 24 = 120 square inches.
- Q:What is the perimeter of the base of the triangular prism? A:The perimeter of the base of the triangular prism is 10 + 24 + 26 = 60 inches.
- Q:What is the total surface area of the triangular prism? A:SA = 2B + Ph = 2(120) + (60)(20) = 240 + 1200 = 1440 square inches.