Question

A cubodical box is melted and recast into a cube. find edges of cube if sides of cuboid are -› 12cm× 72cm× 4cm​

Answer 1

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 2

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