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An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?
Asked by Meghana Last Modified
Answer 
Volume of cube =
V = x3.
∴
(By chain rule)
It is given that,
∴
Thus, when x = 10 cm,
Hence, the volume of the cube is increasing at the rate of 900 cm3/s when the edge is 10 cm long.
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Harshit Bhardwaj
Let x be the length of a side and V be the volume of the cube. Then,
V = x3.
∴ (By chain rule)
It is given that,
∴
Thus, when x = 10 cm,
Hence, the volume of the cube is increasing at the rate of 900 cm3/s when the edge is 10 cm long.
read less
View 1 more Answers
Related Questions
The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(A) 10π (B) 12π (C) 8π (D) 11π
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