Question

(05.06 LC)The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.


104 units²
132 units²
152 units²
168 units²

Answer 1

C. 152 square units

Explanation:

I'll do the rectangles first because they are the easiest.

8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.

6(8)=48. Add that to 80, you get 128.

The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.

Add them all up, and you get 152.

Hope this helps!

Answer 2

• C. 152 units²

Explanation:

Total surface area is the area of the net.

The rectangles have area:

• 8*(5 + 6 + 5) = 128 units²

The triangles have area:

• 2*(1/2*6*4) = 24 units²

Total area is:

• 128 + 24 = 152 units²

Correct choice is C