What is the surface area of a triangular prism with a base of 24 a length of 34 and a height of 10

1 answer

The surface area of a triangular prism is equal to the sum of the areas of its three faces plus the area of its three rectangular faces.

The area of the three triangular faces is:

Area of base = (1/2) * 24 * 10 = 120

Area of two sides = (1/2) * 24 * 34 = 408

Total area of the three triangular faces = 528

The area of the three rectangular faces is:

Area of two sides = 24 * 10 = 240

Area of base = 34 * 10 = 340

Total area of the three rectangular faces = 580

Therefore, the total surface area of the triangular prism is 528 + 580 = 1,108.