Answer:
[tex]3672 cm^3[/tex]
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:
[tex]V=l\cdot w\cdot h[/tex]
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
[tex]l=24 cm[/tex] (length)
[tex]w=9 cm[/tex] (width)
[tex]h = 17 cm[/tex] (height)
Therefore, the volume of the prism is:
[tex]V=24\cdot 9 \cdot 17 = 3672 cm^3[/tex]
