Question

if each side of a cube is half then find the percent increase in its volume

Answer 1

Ans : 125%

Solution:

Initial Volume of cube = a^3 ( a= side of cube)

Final volume = (3a/2)^3 = (27a^3 / 8)

Since each edge length is increased by 50%

Percentage of increase in volume

= (increase in volume / initial volume) × 100

= (( (27/8 -1) a^3) / a^3 ) × 100

= ( 19 / 8 )× 100

= 237.5%

Answer 2

HEY AA BUDDY HERE IS UR SOLUTION !!!!


Let each side of a cube = a unit

Surface area = 6 a^2 sq.unit.

New length of each side

=a+50%of a

=3a/2 unit

New surface area

=6(3a/2)^2=6×9a^2/4=27a^2/2

Increase in surface area

=27a^2/2–6a^2=15a^2/2

% increase in s/area

=(15a^2)×100/2×6a^2

=15×100/2×6

=5×25

125 % , Answer

Hope u like my process !!



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