Question

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

Answer 1

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

Explanation:

The net of the triangular prims is attached.

Remember, the total surface area refers to the area of each face of the volumetric figure. In this case we have three equal rectangles and two equal triangles.

Area of the rectangles.

`A_(1)=3(10 * 14)=3(140)=420 \ u^(2)`

Remember that the area of a rectangle is just the product of its width and height.

Area of the triangles.

`A_(2)=2((1)/(2) * 12 * 8 )=96 \ u^(2)`

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

`S=420 + 96 = 516 \ u^(2)`

Therefore, the total surface area of the figure is 516 square units.