The edge of a cube is increasing at a constant rate of

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The edge of a cube is increasing at a constant rate of 0.40 cm/s0.40\text{ cm/s}. What is the rate of change of the cube’s volume when the edge length is 5.0 cm5.0\text{ cm}? (a) 40 cm3 ⁣/ ⁣s40\text{ cm}^{3}\!/\!\text{s} (b) 30 cm3 ⁣/ ⁣s30\text{ cm}^{3}\!/\!\text{s} (c) 20 cm3 ⁣/ ⁣s20\text{ cm}^{3}\!/\!\text{s} (d) 75 cm3 ⁣/ ⁣s75\text{ cm}^{3}\!/\!\text{s}

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