Answer:
![3672 cm^3](https://tex.z-dn.net/?f=3672%20cm%5E3)
Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:
![V=l\cdot w\cdot h](https://tex.z-dn.net/?f=V%3Dl%5Ccdot%20w%5Ccdot%20h)
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is:
![V=24\cdot 9 \cdot 17 = 3672 cm^3](https://tex.z-dn.net/?f=V%3D24%5Ccdot%209%20%5Ccdot%2017%20%3D%203672%20cm%5E3)