A metallic box is in the shape of solid cuboid of side
or une cuboid of sides 200 cm x 50 cm x 100 cm. It is
recasted into a solid cube. Find the difference in surface area of two solids, stating
which shape has greater surface area.
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surface area of cuboid =2(lb+bh+hl)
l=200cm. b= 50cm h= 100cm
surface area of cuboid = 2(10000+5000+20000)
= 2( 35000 )
= 70000 cm²
cuboid is recasted into cube
=> volume of cube = volume of cuboid
volume of cube = lbh
volume of cube = 200 × 50 × 100 = 1000000 cm³
let side of cube be acm
a³= 1000000
a= 100cm
surface area of cube = 6a²
surface area of cube = 6(100)²
=6(10000)
=60000 cm²
Therefore cuboid has greater surface area
Difference in surface areas = 70000-60000
= 10000cm²
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