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
Answer to a math 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.
Velda
4.5110 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)
Question: What is the slope of the line passing through the points (2, 4) and (-1, 1)?
+
What is 1.25 x 10^4 in standard notation?
+
What is the length of the perpendicular segment from a vertex to the opposite side in a right-angled triangle?
+
New questions in Mathematics