Mathematics

Mathematics

Problem

The edge of a cube is decreasing at 0.05 m/s0.05\,\text{m/s} when the edge length is 3 m3\,\text{m}. What is the instantaneous rate of change of the cube’s volume at that moment? a) −2.70 m3 ⁣/s-2.70\,\text{m}^3\!/\text{s} b) +1.35 m3 ⁣/s+1.35\,\text{m}^3\!/\text{s} c) −1.35 m3 ⁣/s-1.35\,\text{m}^3\!/\text{s} d) −0.45 m3 ⁣/s-0.45\,\text{m}^3\!/\text{s}

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