To find the volume of the shipping container, we need to apply the formula \( V = B \times h \), where \( B \) is the area of the base and \( h \) is the height.
First, we calculate the area of the base \( B \):
- Length of the container: \( 20 \frac{1}{2} \) ft = \( 20.5 \) ft
- Width of the container: \( 12 \frac{1}{4} \) ft = \( 12.25 \) ft
Now, calculate the area of the base \( B \):
\[ B = \text{Length} \times \text{Width} = 20.5 , \text{ft} \times 12.25 , \text{ft} \]
Calculating it:
\[ B = 20.5 \times 12.25 = 250.625, \text{ft}^2 \]
Next, we need to find the height \( h \):
- Height of the container: \( 8 \frac{1}{4} \) ft = \( 8.25 \) ft
Now, we can calculate the volume \( V \):
\[ V = B \times h = 250.625 , \text{ft}^2 \times 8.25 , \text{ft} \]
Calculating it:
\[ V = 250.625 \times 8.25 = 2071.15625 , \text{ft}^3 \]
Now, converting to a fractional form, we find:
\[ 2071.15625 , \text{ft}^3 = 2071 \frac{25}{32} , \text{ft}^3 \]
Thus, the volume of the shipping container is:
2071 25/32 ft³
So the correct response is:
2,071 25/32 ft³