The volume of a metal cube was 8000 cm3. The height of a metal cuboid was the same as the edge of the metal cube. A metal cube and the metal cuboid were melted to form a new metal cube. What was the length of the edge of the new metal cube?
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1
Answer:
2340
Step-by-step explanation:
Given a solid metal cuboid with dimension 72cm×30cm×75cm. It is melted, recast into cube of edge 6 cm.
For forming cube by melting, we have to find volume of cuboid =l×b×h
=72cm×30cm×75cm
=162000cm
3
Volume of the cube to be formed =(side)
3
=6
3
=216cm
3
So, number of cubes formed =
Volume of cube
Volume of cuboid
=
216
162000
=750
For polishing the cube we need to find total surface area of cube.
Total surface area of one cube =6×(side)
2
=6×6
2
=216cm
2
Total surface area of the 750 cubes =216cm
2
×750
=162000cm
2
=16.2m
2
Cost of polishing per sq.m is Rs. 150.
Therefore, cost of polishing 16.2 sq m =16.2m
2
×150
=Rs.2430
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