Question

solve this thing urgent.............

Answer 1

Volume =V

Side of the cube=x metres

Increase in side=3%

=0.03×x

=0.03x

Volume of a cube =l×b×h

=x×x×x

=x3

Step 2:

Approximate change in volume =ΔV

=dvdx×Δx

V=x3

dvdx=3x2[Differentiating with respect to x]

ΔV=dvdx×Δx

=3x2×0.03x

=0.03x6m3

Answer 2

Answer:

0.09 x³ m³

Step-by-step explanation:

Let volume = V.

Side = x metres.

Given, Increase in side = 3%.

                                      = 0.03 * x

                                      = 0.03 x.

Hence, Δx = 0.03x.

Volume of cube = x³.

Approximate change in volume = ΔV

= (dv/dx) * Δx

= (d/dx)(x³) Δx

= 3x² * 0.03x

= 0.09 x³

Therefore, Approximate change in the volume of the cube is 0.09x³ m³.

Hope it helps!