Question

When each edge of a cube of cube is increased by 10%, then the increase in the total surface area of cube is
(1) 44%
(2) 21%
(3) 20%
(4) 40%

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

%