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?

A cube has 6 sides, but you only need to find 5 of the sides since the top would be covered by the pyramid.

12(12)=144
144(5)=720
The surface area for the cube is 720 in.^2

Since the sides of the pyramid would also be 12 inches ( cause of the cube below), you would multiply the slant height with the side. There are 4 sides. The base will not matter because it is covered by the cube.

10(12)=120
120(4)=480
The surface area of the pyramid would be 480in.^2

720 + 480 = 1200

The total surface area of the figure is 1200in.^2