A solid cube is cut into two equal cuboids of equal length.Find ratio of total surface area of a given cube and that of cuboid
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Let the side of the cube be a.
Total surface area of a cube=6a^2
Length of the each resulting cuboid is half of the side of the cube = a/2
Height and breadth of the cuboid remain same as the side of the cube a.
Total surface area of a cuboid
=2(l×b+b×h+l×h)
=2(a/2 × a +a ×a + a/2 × a)
=4a^2
=3:2..
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