a cost of painting 35 identical wooden cubical boxes at rate of rs 20 per cm square is rs151200 .find the edge of each cubical box?
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Total Surface Area of Cube = 6a²
Let, the edge be x
So, TSA of one Cube = 6*(x)*(x) = 6x²
TSA of 35 cubes = 35×6x²= 210x²
Cost of painting 1cm² = 20rs
Cost of painting 210x²= (210x²) × (20) = 4200x²
A.T.Q.,
151200 = 4200x²
151200/4200 = x²
36 = x²
√36 = x
x = 6
Let, the edge be x
So, TSA of one Cube = 6*(x)*(x) = 6x²
TSA of 35 cubes = 35×6x²= 210x²
Cost of painting 1cm² = 20rs
Cost of painting 210x²= (210x²) × (20) = 4200x²
A.T.Q.,
151200 = 4200x²
151200/4200 = x²
36 = x²
√36 = x
x = 6
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