Question

Side of a cube is increased by 50% find the percentage increase in surface area

Answer 1

Answer:

125%

Step-by-step explanation:

let the edge of cube be 'a'

surface area of cube =6a^2

increase in length of edge of cube=50%of 'a'

=50/100 x a

=a/2

new length= a + a/2= 3a/2

new surface area of cube 6a^2

=6x(3a/2)^2

6 x 9a^2/4

=27a^2/2

=increase in surface area= 27a^2/2 - 6a^2

=15a^2/2

percentage=(15a^2/2)/6a^2 x100 = 5/4 x 100 =150%

increase oin surface area = 125%

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