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?
Accepted Solution
A:
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