Surface area of podium included bottom is 65.25 square feet.
What is the surface area of a cuboid?
The surface area of a cuboid is defined as the total area of all surfaces of cuboid in the three-dimensional plane.
Surface area of cuboid is 2(LW+WH+HL) unit square
Where L is the length of cuboid , W is the width of the cuboid and H is height of cuboid
We have to determine the surface area of the victory podium.
In the attached figure,
The upper cuboid has dimension
Length = 2.5 feet ,
Width = 1.5 feet,
Height = 1.5 feet
Surface area of upper cuboid = 2(2.5 x 1.5 + 1.5 x 1.5 + 1.5 x 2.5)
Surface area of upper cuboid = 2(3.75 + 2.25 + 3.75)
Surface area of upper cuboid = 2(9.75)
Surface area of upper cuboid = 19.5 square feet
The lower cuboid has dimension
Length = 7.5 feet ,
Width = 1.5 feet,
Height = 1.5 feet
Surface area of lower cuboid = 2(7.5 x 1.5 + 1.5 x 1.5 + 1.5 x 7.5)
Surface area of lower cuboid = 2(11.25 + 2.25 + 11.25)
Surface area of lower cuboid = 2(24.75)
Surface area of lower cuboid = 49.5 square feet
Now, Surface area of podium included bottom = 19.5+49.5-3.75
Surface area of podium included bottom = 65.25 square feet.
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