At the Olympics, the winners of the gold silver and prawn medals stand on a tired pedestal as labeled in the diagram. The height of the pedestal three is 7 inches the height of pedestal two is 11 inches in the height of pedestal one is 15 inches swimming each pedestal is of equal with in depth find the total surface area of the stand.
To find the total surface area of the stand, we need to calculate the surface area of each pedestal and then add them together.
Surface area of pedestal one:
Height = 15 inches
Width = Depth = x inches (let's use x as the width and depth, since they are equal)
The surface area of one side of the pedestal is 15 * x = 15x
Since there are four sides to the pedestal, the total surface area of pedestal one is 4 * 15x = 60x
Surface area of pedestal two:
Height = 11 inches
Width = Depth = x inches
The surface area of one side of the pedestal is 11 * x = 11x
Since there are four sides to the pedestal, the total surface area of pedestal two is 4 * 11x = 44x
Surface area of pedestal three:
Height = 7 inches
Width = Depth = x inches
The surface area of one side of the pedestal is 7 * x = 7x
Since there are four sides to the pedestal, the total surface area of pedestal three is 4 * 7x = 28x
Therefore, the total surface area of the stand is:
60x + 44x + 28x = 132x
We do not know the width (x) of the pedestal, so we cannot calculate the total surface area of the stand without that information.