Question

What is the surface area of the triangular prism shown? A triangular prism. The triangle faces have base 14 meters and height 24 meters. The rectangular bottom has dimensions 10 meters by 14 meters. The height of the prism is 25 meters.

Answer 1

The surface area of the triangular prism is 476 square meters.

Step-by-step explanation:

To find the surface area of the triangular prism, we need to calculate the areas of the triangular faces and the rectangular base separately, and then add them up.

The area of a triangle is given by the formula: 1/2 × base × height.

For the triangular faces, the base is 14 meters and the height is 24 meters. So, the area of each triangular face is: 1/2 × 14 × 24 = 168 square meters.

For the rectangular base, the length is 10 meters and the width is 14 meters. So, the area of the rectangular base is: 10 × 14 = 140 square meters.

Now, we can find the total surface area by adding the areas of the triangular faces and the rectangular base: 2 × 168 + 140 = 476 square meters.