a 4cm cube is cut into 1cm cubes .what is the percentage increase in the total surface area?
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Answered by
20
volume of 4 cm cube = a³ = 4³ = 64
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%
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%
Answered by
9
volume of 4 cm cube = a³ = 4³ = 64
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%
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