Question

the volume of a cube with side -0.5/7 x²y is _____​

Answer 1

Answer:

volume=V

side of the cube =x m

increase in side =1%

=0.01×x

=0.01x

volume of a cube =l×b×h

=x×x×x

=x

3

Approximate change in volume ΔV

=

dx

dv

×Δx

V=x

3

dx

dv

3x

2

[Differentiatingwithrespecttox]

ΔV=

dx

dv

×Δx

=3x

2

×0.01x

=0.03x

3

m

3