Question

The net of a triangular prism is shown. Use the ruler provided to measure the dimensions of the net to the nearest half centimeter. Which measurement is closest tot he total surface of the triangular prism in square centimeters.?

Answer 1

The total surface area of the figure is 516 square units.

Explanation:

The net of the triangular prisms is attached. Remember, the total surface area refers to the area of each face of the volumetric figure. In this case we have 3 equal rectangles and 2 equal triangles.

1. The Area of the rectangles.

• A^1 = 3 (10 x 14) = 3 (140) = 420 u^2

2. The Area of the triangles.

• A^2 = 2(1/2 x 12 x 8) = 96 ^2

The total surface area is given by the sum of all these areas:

S= 420 + 96 = 516 u^2.