In this prize distribution podium 2nd place step is cubic in shape of 30cm edges first place step is joined such two cubics the 3rd place step is a cuboidal shape of 30cm length 30cm breadth and 15cm height find the surface area to paint the color for this podium except the base of the podium
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Given : Breadth of the shape = 30cm
Length of the shape = 30cm
Height of the shape = 15cm
To Find : Surface area of the podium
Solution :
The surface areas of the front and back sides of the cubic shape are equal.
Therefore,
2 ( 30 × 30 + 30 × 30 + 30 × 30 + 30 × 15)
= 2 ( 900 + 900 + 900 + 450)
= 2 ( 3150)
= 6300
Surface area of the left and right sides -
= 2 ( 30 × 60)
= 2 × 1800
= 3600
Surface area of the top side -
= 3 ( 30 × 30)
= 3 ( 900)
= 2700
Thus, the total surface area
= (6300 + 3600 + 2700)
= 12600
Hence, the required surface area to paint the podium is 12600 cm².
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