Answer :
Final answer:
The problem is about calculating the change in volume, dV, of a cube when the sides change from 10 to 10.1 units. The formula for cube volume (s³) is used, resulting in a volume change, dV, of 30.301 cubic units.
Explanation:
The subject of the question is concerning the change in the volume of a cube when the sides change slightly. In this case, the side length of the cube changes from 10 to 10.1. To calculate the change in volume dV, we need to consider that the formula for the volume of a cube is s³, where s is the side length.
So initially, when s = 10, the volume is 10³ = 1000 cubic units. When the sides change to 10.1, the new volume is 10.1³ = 1030.301 cubic units.
The change in volume then is the new volume minus the initial volume, which is 1030.301 - 1000 = 30.301 cubic units. Hence, dV = 30.301 cubic units.
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