The formula of the Volume of a rectangular prism is
![V=l* w* h](https://img.qammunity.org/2023/formulas/mathematics/college/6r1v4jyudv1wid1xri6o6h85nmm0m84ukq.png)
where
l is the length
w is the width
h is the heigth
in our case we have the next data
l=3 1/3 ft
w=2 1/2 ft
h= 3 3/4 ft
we will change the mixed number into fractions in order to make easier the solution
l=10/3 ft
w=5/2 ft
h=15/4 ft
then we substitute the values in the volume formula
![V=(10)/(3)*(5)/(2)*(15)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/8n17v4467lxos0dds1ryte3h0w4mcogb4d.png)
![V=(125)/(4)=31.25ft^3](https://img.qammunity.org/2023/formulas/mathematics/college/wjxw75zy0ii21g1xipu49vq9byxag9geyy.png)
then we need to transform the ft^3 into cm^3
![31.25\text{ ft}=884901.46\operatorname{cm}^3]()
884901.46 cubic centimeters