To find the volume of a rectangular box, we can use the formula for the volume of a rectangular prism, which is:
\[ V = l \times w \times h \]
where \( V \) represents the volume, \( l \) is the length, \( w \) is the width, and \( h \) is the height of the box.
Given that the length of the box is 45 cm, the width is 25 cm, and the height is 10 cm, we can plug these values into our formula:
\[ V = 45 \, \text{cm} \times 25 \, \text{cm} \times 10 \, \text{cm} \]
Now, to calculate the volume, we multiply these numbers:
\[ V = (45 \times 25 \times 10) \, \text{cm}^3 \]
\[ V = (1125 \times 10) \, \text{cm}^3 \]
\[ V = 11250 \, \text{cm}^3 \]
So, the volume of the rectangular box is 11250 cubic centimeters.
