Question

A cube of metal of 6cm edge is melted and casted into a cuboid whose base is 9cm×8cm. Find the height of the cuboid

Answer 1

volume of cube=volume of cuboid
6×6×6=9×8×h
216=72h
216/72=3
: height:3cm

Answer 2

Since, Volume doesn't changes.

Volume of Cube = Volume of Cuboid

=> a^3 = lbh

=> 6^3 cm^3 = 9 x 8 x h

=> 216 cm^3 = 72 cm^2 x h

$= > \frac{216}{72} = h \:$

$= > h \: = 3 \: cm$


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