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If each edge of a cube is doubled, then the percentage increase in its total surface area is , If each edge of a cube is doubled, then the percentage increase in its total surface area is
If each edge of a cube is doubled, then the percentage increase in its total surface area is
A.
200%
200%
B.
300%
300%
C.
150%
150%
D.
600%
600%
Solution
B. 300%
Explanation
If each edge of a cube is doubled, then the percentage increase in its total surface area is 300%. Surface area of a cube = 6 ×(side)2 Let the side of cube = 'a' then its surface area = 6a2 new side of a cube = 2a then its surface area = 6(2a)2=24a2 Therefore, Percentage increase = [(24a2−6a2)/ 6a2] ×100 =300%
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