To calculate the volume of a rectangular prism, we use the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
First, we need to convert all measurements to the same unit. Let's convert everything to inches.
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Convert feet to inches:
- \(5 , \text{ft} = 5 \times 12 , \text{in} = 60 , \text{in}\)
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Convert yards to inches:
- \(2 , \text{yd} = 2 \times 36 , \text{in} = 72 , \text{in}\)
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The height is already in inches:
- \(16 , \text{in}\)
Now we have the dimensions in inches:
- Length: \(60 , \text{in}\)
- Width: \(72 , \text{in}\)
- Height: \(16 , \text{in}\)
Now we can calculate the volume:
\[ \text{Volume} = 60 , \text{in} \times 72 , \text{in} \times 16 , \text{in} \]
Calculating step-by-step:
\[ 60 \times 72 = 4320 , \text{in}^2 \]
Now, multiply by the height:
\[ 4320 \times 16 = 69120 , \text{in}^3 \]
Therefore, the volume of the box is:
\[ \boxed{69,120 , \text{in}^3} \]