At the Olympics, the winners of the gold, silver, and bronze medals stand on a tiered pedestal.
As labeled in the diagram, the height of pedestal 3 is 7 inches, the height of pedestal 2 is 11 inches, and the height of pedestal 1 is 15 inches. Assuming each pedestal is of equal width and depth, find the total surface area of the stand.
(1 point)
in.2
To find the total surface area of the stand, we need to calculate the surface area of each pedestal and add them together.
Since each pedestal has the same width and depth, we can consider only the top surface area of each pedestal:
- Surface area of pedestal 1 = 15 inches * 15 inches = 225 square inches
- Surface area of pedestal 2 = 11 inches * 11 inches = 121 square inches
- Surface area of pedestal 3 = 7 inches * 7 inches = 49 square inches
Total surface area = 225 + 121 + 49 = 395 square inches
Therefore, the total surface area of the stand is 395 square inches.