Question

If the side of cube is increased by 10%.what is the percentage increase in the volume of cube?

Answer 1

See explanation below

Explanation:

Supose `l` the side lengthof cube

The volume is then `V=l^3`

If increase the length by 10%, the new length is `l´=(1+10/100)·l=110/100·l`

`1+10/100=110/100`

The new volume will be `V´=l´^3=110^3/100^3·l^3=110^3/100^3V=1.331·V`

The volume increase in percentage is 33,1%

Answer 2

`33.1%`

Explanation:

`" the volume (V) of a cube is"`

`•color(white)(x)V=l^3`

`"where "l" is the side of the cube"`

`"assuming "l=1" unit"`

`"then "V=1^3=1" unit"^3`

`"increasing "l" by" 10%tol=1.1" units"`

`"then "V=(1.1)^3=1.331" units"^3`

`"an increase of "1.331-1=0.331`

`%"increase "=0.331xx100%=33.1%`