Question

an iron cube of edge 175 cm is melted to form a cuboid of base 2.25 m x 85 cm find the height of cuboid so formed

Answer 1

Edge = 175 cm (a)

Therefore, volume= a×a×a...........(i)

=175×175×175

Dimensions of the cuboid = 225 ×85

Let the height be h cm

After melting the cube

Vol. if the cube= vol. if the cuboid

Volume of the cuboid = l×b×h

175×175×175 = 225×85×h

Therefore, h= 175×175×175

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225×85

=332.36 cm