A 4 cm wooden cube is cut into 1 cm cubes.what is the percentage increase in surface area after such cutting
Answers
Answered by
68
Earlier surface area of the cube = 6(side)^2 = 6(4)^2 = 96cm^2
No. of new cubes = Volume of older cube / Volume of 1 new cube
=> 4*4*4/1*1*1
=> 64 cubes
Newer surface area of 64 cubes = 64*6(1)^2 = 384cm^2
Therefore, percentage increase
=> (384-96)*100/96
=> 28800/96 = 300%
Answered by
14
Step-by-step explanation:
Answer:
300%
Step-by-step explanation:
Total surface area of 4 cm³ = 6(4)²
= 96 cm².
∴ Number of 1 cm cubes obtained by cutting the 4 cm cube:
= (4)³/(1)³
= 64.
The total surface areas of all the 1 cm cubes = 64 * 6
= 384 cm²
Increase in the total surface area = 384 - 96
= 288.
% increase in the total surface area = (288/96) * 100
= 300%.
Hope it helps!
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