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The given figure shows a solid trophy made of shining glass. If one cubic centimetre of glass costs Rs 0.75, find the cost of the glass for making the trophy.

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An Important Question of class 10 Based on Mensuration Chapter of M.L Aggarwal for ICSE BOARD.
Here the given figure shows a solid trophy made of shining glass.
If one cubic centimetre of glass costs Rs 0.75, find the cost of the glass for making the trophy.
This is the Question Number 02, Exercise 17.4 of M.L Aggarwal.

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1 Answer

1. Given side of the cube, a = 28 cm

Radius of the cylinder, r = 28/2 = 14 cm

Height of the cylinder, h = 28 cm

Volume of the cube = a3

= 283

= 28Ã—28Ã—28

= 21952 cm3

Volume of the cylinder = r2h

= (22/7)Ã—142Ã—28

= 22Ã—2Ã—14Ã—28

= 17248 cm3

Total volume of the solid = Volume of the cube + volume of the cylinder

= 21952+17248

= 39200 cm3

Cost of 1 cm3Â glass = Rs. 0.75

Total cost of glass = 39200Ã—0.75

= Rs. 29400

Hence the cost of making the trophy is Rs. 29400.

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