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?

Answer

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Answer

\boxed{\text{Final Answer: Option B}}

Steps

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}}

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