To calculate the total surface area of the stand, we need to find the surface area of each individual pedestal and then add them up.
Surface area of pedestal three:
Since the pedestal three is a cube, we can calculate the surface area using the formula: 6s^2 where s is the side length. Since the pedestal is a cube, the side length is equal to the height, so the surface area of pedestal three is 6 * 7^2 = 294 square inches.
Surface area of pedestal two:
Similarly, the surface area of pedestal two is 6 * 11^2 = 726 square inches.
Surface area of pedestal one:
The surface area of pedestal one is 6 * 15^2 = 1350 square inches.
Total surface area:
Adding up the surface areas of the three pedestals, we get:
294 + 726 + 1350 = 2370 square inches
Therefore, the total surface area of the stand is 2370 square inches.
At the Olympics, the winners of the gold, silver and bronze medals stand on the tiered pedestal as labeled in the diagram. The height of the pedestal Three is 7 inches. The height of pedestal two is 11 inches and the height of pedestal one is 15 inches assuming each pedestal is equal with and depth Find the total surface area of the stand
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