Question

Javed is building a birdhouse in the shape of a triangular pyramid. He drew the net for his birdhouse and labeled the dimensions. The base is an isosceles triangle with two side lengths of 20 cm. How much wood will Javed need for the birdhouse?

Answer 1

See attachment

Explanation:

Required

How much wood needed (i.e. the surface area)

The question is incomplete, as the net of the triangular prism is not given. So, I will answer with the attached net.

To calculate the surface area, we simply calculate the area of each face of the net.

The area of the net is as follows:

Area= 2 * Area of Triangle + 2 * Area of 2 Congruent Rectangles + Area of the third rectangle

So, we have:

`Area = 2 * (1)/(2) * 6 * 5 + 2 * 8 * 7 + 8 * 6`

`Area = 30 + 112 + 48`

`Area = 190cm^2`