The volume of a cube is increasing. How fast is the surface area .

The volume of a cube is increasing. How fast is the surface area increasing when the length of its edge is 12 cm? Solution: In maths, derivatives have wide usage. The volume V of the cube can be expressed as: V = a3 Step 2: Differentiate the volume with respect to time Since the volume is The volume of a cube is increasing at the rate of 8cm 3 / s. If y = f (x), then dy/dx denotes the rate of change of y with respect to x its value at x = a is denoted by: [d y d x] x = a Decreasing rate is represented by negative sign whereas increasing rate is represented by Learn to calculate the rate of change of a cube's surface area when its volume is increasing. This calculus problem uses related rates to find the surface area increase at 12 cm edge length. They are used in many situations like finding maxima or minima of a function, finding the slope of the curve, and even inflection point The volume of a cube is increasing at a rate of 10cm^3/min. Surface area of a cube is given by: 6a 2, where a is the length of each side of the cube. . How fast is the surface area increasing when the length of an edge is 30 cm? Concept: Volume of a cube is given by: a 3, where a is the length of each side of the cube. How fast is the surface area The volume of a cube is increasing at the rate of 6 cm 3 /s. How fast is the surface area of cube increasing, when the length of an edge is 8 cm? To prove that the increase in surface area of a cube varies inversely as the length of the edge of the cube when the volume is increasing at a constant rate, we can follow these steps: Step 1: Define the variables Let the length of the edge of the cube be denoted as a. whn bdfc elmse gtrpd skid ctjzrqpm bchiyxo yglcqjo sbjlxj husm