Question

The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.

242

likes1208 views

Velda

4.5

74 Answers

Solution:
The formula for the volume of a cube is given by V=s^3 Taking the derivative of the equation with respect to t, \frac{\differentialD V}{\differentialD t}=3s^2\frac{\differentialD s}{\differentialD t} \frac{\differentialD s}{\differentialD t}=\frac{\frac{\differentialD V}{\differentialD t}}{3s^2} Substituting values, \frac{\differentialD s}{\differentialD t}=\frac{10}{3\left(2\right)^2} \frac{\differentialD s}{\differentialD t}=\frac{5}{6}\operatorname{m/s}

Frequently asked questions (FAQs)

What is the measure of an angle bisector if the two angles it bisects have measures of 60° and 120°?

+

Find the value of x between 0 and 2π where f(x) = cot(x) has a vertical asymptote.

+

What is 0.25 in percent form?

+

New questions in Mathematics