Question

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters.

What is the surface area of the triangular prism?

210 square centimeters
318 square centimeters
360 square centimeters
468 square centimeters

Answer 1

Answer:

468 square centimeters

Step-by-step explanation:

We compute for the surface area of the triangular prism by the adding the areas of the bases and the sides. There are two triangles and the areas will be,

                             A = 2 (1/2)(9 cm)(12 cm) = 108 cm²

There are three sides which are in rectangular shape.

                              A1 = (10)(12) = 120 cm²

                              A2 = (10)(9) = 90 cm²

                              A3 = (10)(15) = 150 cm²

The sum of these areas is 468 cm².