A cubodical box is melted and recast into a cube. find edges of cube if sides of cuboid are -› 12cm× 72cm× 4cm
Answers
Answer:
Volume of cuboid = l×b×h
= 12×72×4 cubic cm
=3456
So volume of cuboid =vol. Of cube
Therefore volume of cube= (side) ^3
So side of cube = cube root of 3456
=. 16
Hence side of cube is 16cm
Step-by-step explanation:
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Answer:
ANSWER
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