# A 4cm cube is cut into 1cm cubes .what is the percentage increase in the total surface area?

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by kaur4trupsri

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by kaur4trupsri

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volume of 1 cm cube = a³ = 1³ = 1

therefore,

we can cut 64 1 cm cube from the 4 cm cube.

total surface area of 4 cm cube = 6a²

= 6×16

=96

total surface are of 64 1cm cube = 64 ×6a²

= 64 ×6

= 384

surface area increases from 96 to 384 when we cut a 4 cm cube into 1 cm cube.

surface area increases 4 times = 400%