Problem
The volume of a rectangular prism is 10 cubic feet. What could the dimensions of the prism be? A $100 \mathrm{ft}, \frac{1}{2} \mathrm{ft}, \frac{1}{2} \mathrm{ft}$ B $10 \mathrm{ft}, \frac{1}{2} \mathrm{ft}, 2 \mathrm{ft}$ C $5 \mathrm{ft}, 2 \frac{1}{2} \mathrm{ft}, 2 \frac{1}{2} \mathrm{ft}$ D $10 \mathrm{ft}, 10 \mathrm{ft}, \frac{1}{2} \mathrm{ft}$ Carla chose $\mathbf{C}$ as the correct answer. How did she get that answer?
Solution
Step 1 ：Calculate the volume for each option: \(V = lwh\)
Step 2 ：Option A: \(100 \times 0.5 \times 0.5 = 25\) cubic feet
Step 3 ：Option B: \(10 \times 0.5 \times 2 = 10\) cubic feet
Step 4 ：Option C: \(5 \times 2.5 \times 2.5 = 31.25\) cubic feet
Step 5 ：Option D: \(10 \times 10 \times 0.5 = 50\) cubic feet
Step 6 ：\boxed{\text{Final Answer: Option B}}
