To find the volume of the moving truck, we can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given measurements:
- Length = \( 9 \frac{9}{10} \) ft = \( 9.9 \) ft,
- Height = \( 6 \frac{1}{10} \) ft = \( 6.1 \) ft,
- Width = \( 6 \frac{9}{10} \) ft = \( 6.9 \) ft.
Now we will calculate the volume:
\[ \text{Volume} = 9.9 \times 6.1 \times 6.9 \]
Calculating step by step:
- \( 9.9 \times 6.1 = 60.39 \)
- Now multiply this result by \( 6.9 \):
\[ 60.39 \times 6.9 = 416.691 \]
Thus, the total volume of the moving truck is \( 416.691 \) ft³.
To express this as a fraction:
\[ 416.691 = 416 + 0.691 = 416 + \frac{691}{1000} \]
Therefore, it can be written as:
\[ 416 \frac{691}{1000} , \text{ft}^3 \]
The correct response is:
416 \( \frac{691}{1000} , \text{ft}^3 \)