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

53 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)

Math question: Find the slope-intercept equation of a line passing through (3, -4) and (1, 6). 𝑦 = 𝑚𝑥 + 𝑏.

+

What is the value of cosine at 60 degrees, given the unit circle chart?

+

What is the slope-intercept form equation of the line passing through (2,5) and (4,9)?

+

New questions in Mathematics