Problem: Suppose the volume V of some object happens to depend on time t according to the equation V(t) = At3 + B/t2, where A and B are some constants. Let L and T denote dimensions of length and time, respectively. What is the dimension of the constant A? 1. L/T 2. L2/T 3. L3 • T3 4. L/T3 5. L3/T3

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Problem Details

Suppose the volume V of some object happens to depend on time t according to the equation V(t) = At3 + B/t2, where A and B are some constants. Let L and T denote dimensions of length and time, respectively. What is the dimension of the constant A?

1. L/T

2. L2/T

3. L3 • T3

4. L/T3

5. L3/T3

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Based on our data, we think this problem is relevant for Professor Osborn's class at TCC.