If a sheet measuring 1 m2 costs ₹ 20, then the cost of the sheet required for making a cubical stand of edge 2.5 m, which is open from the top, is _______ .
A
₹ 600
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B
₹ 625
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C
₹ 655
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D
₹ 675
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Solution
The correct option is B ₹ 625 Given, edge length of the cubical stand, which is open from the top, is 2.5 m.
The surface area of the stand = lateral surface area of cube + base area
We know, curved surface area of cube = 4(edge)2 ∴ The surface area of the cubical stand =(4×2.52)+(2.5×2.5)=25+6.25=31.25m2
Given, the cost of 1 m2 of the sheet is ₹ 20.
The total cost for making the cubical stand =Total area×cost for 1 m2 of the sheet =31.25×20 =₹625