The total surface area of a square-based prism with a fixed height of $8$ cm is decreasing at a co

Question

The total surface area of a square-based prism with a fixed height of $8$ cm is decreasing at a constant rate of $10$ $\text{cm}^2/\text{s}$. Find the rate of change of the volume of the prism when the length of the side of the base square, $x$, is $6$ cm.

Accepted Answer

$-\dfrac{120}{7}\text{ cm}^3\text{ s}^{-1}$

Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

Video Solution:

Solution:

Solution locked