 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.4 in Chapter 17 - Mensuration

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. Solution:

This trophy is the case of combinational of solids.

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

= 28×28×28

= 21952 cm3

Volume of the cylinder = π r2h

= (22/7)×142×28

= 22×2×14×28

= 17248 cm3

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

= 21952+17248

= 39200 cm3

Cost of 1 cm3 glass = Rs. 0.75

Total cost of glass = 39200×0.75

= Rs. 29400

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

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