Question

The base of the figure shown is a cube with sides that are 12 inches long. The total height of the figure is 20 inches. The slant height of the pyramid on top of the cube is 10 inches. What is the total surface area of the figure?

Answer 1

1660

Explanation:

If you were to split the figure into 2 rectangular prisms, you can find the surface area from there.

Using the formula 2(wl+hl+hw)

First piece: 2·(24·10+8·10+8·24)=1024

Second piece: 2·(10·9+12·9+12·10)=636

1024+636=1660

Hope this helped :)