Question

Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.

1. Which surface is shared by the two solids? What are the dimensions of this surface?

2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.

3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:

twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square

4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.

Oh and here's an image to help you out

Answer 1

1. a square which is 6 × 6in

2. the inside of the prism or cube as it is not seen from the outside

3. the area of the square - 6 × 6 = 36in

4. 6 x 6 = 36 / one face of prism

× 5 = 180

4 × 6/2 = 12 / one face of pyramid

x 5 = 60

60 + 180 = 240