8. The dimensions of a solid metallic cuboid are
72 cm x 30 cm x 75 cm. It is melted and
recast into identical solid metal cubes with
each of edge 6 cm. Find the number of cubes
formed.
Also, find the cost of polishing the
surfaces of all the cubes formed at the rate
150 per sq. m.
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Explanation:
Dimensions of a solid are 72cm, 30 cm, 75cm
volume of cuboid = 72*30*75 = 162000 cm 3
side of cube = 6 cm
volume of cube = 6 ³ = 216
no. of cube = 162000/216 = 750
surface area of cube = 216
TSA of 750 cubes = 750 * 216
=162000cm ²
TSA in sq m = 162000/10000
= 16.2 sq m
TSA of polishing the surface = 150*16.2
= Rs. 2430
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