Question

The volume of the cube is increased by 10%, what is the percentage increase in its surface area?

Answer 1

Answer:

Percentage increase in volume will be

33.1

%

Explanation:

Let the each edge of cube be

100

units.

Then its volume is

100

3

=

1000000

cubic units.

If each edge increases by

10

%

it becomes

110

units

and volume becomes

110

3

=

1331000

cubic units

Therefore increase in volume is

1331000

−

1000000

=

331000

cubic units

and percentage increase in volume is

331000

1000000

×

100

%

=

331

10

%

=

33.1

%

Answer 2

Answer:

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