The volume of a cube decreases at a rate of 0.3 ft³/min. What is the rate of change of the side length when the side lengths are 12 ft? Write an equation relating the volume of a cube, V, and an edge of the cube, s. Differentiate both sides of the equation with respect to t. dV/dt = ( ) ds/dt (Type an expression using s as the variable.) The rate of change of the side length when the side lengths are 12 ft is (Type an integer or a decimal. Round to five decimal places as needed.)
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We know that the volume of a cube is given by V = s^3, where s is the length of one side of the cube. Show more…
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