Question

The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304 cm^2

Answer 1

B. 152 cm²

Explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (
`A=l*w`) and then add the values together:

The first rectangle on the left is the same as the one on the right.

`5*8=40`

Two measures are 40 cm².

The middle rectangle is:

`6*8=48`

48 cm²

The formula for the area of a triangle is
`A=(1)/(2)*b*h`:

`A=(1)/(2)*6*4\\\\A=(1*6*4)/(2)\\\\A=(24)/(2)\\\\ A=12`

The area of the two triangles is 12 cm².

Now add the values:

`40+40+48+12+12=152`

The area of the figure is 152 cm².

:Done