Asked by Swati
An edge of a cube is increased by 10%. Find the percent by which the surface area o fa cube has increased?
Answers
Answered by
Reiny
let each side be x units
surface area = 6x^2
new edge = 1.1x
new surface area = 6(1.1x)^2 = 7.26x^2
increase = 1.26x^2
percentage increase = 1.26x^2/(6x^2) = 1.26/6 = .21
= 21%
we could have just looked at one of the 6 faces for the same result.
surface area = 6x^2
new edge = 1.1x
new surface area = 6(1.1x)^2 = 7.26x^2
increase = 1.26x^2
percentage increase = 1.26x^2/(6x^2) = 1.26/6 = .21
= 21%
we could have just looked at one of the 6 faces for the same result.
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