Answer:
The length of prism is 9 centimetres.
Step-by-step explanation:
Given:
The volume of a rectangular prism is 72 cubic centimeters.
The prism is 2 centimeters wide and 4 centimeters high.
Now, to find the length of prism:
Let the length be [tex]l[/tex].
Width = 2 centimeters.
Height = 4 centimeters.
Volume = 72 cubic centimeters.
So, putting the formula to get the length of prism:
[tex]Volume = length\times width\times height[/tex]
[tex]72=l\times 2\times 4[/tex]
[tex]72=l\times 8[/tex]
Dividing both sides by 8 we get:
[tex]9=l[/tex]
Length = 9 centimetres.
Therefore, the length of prism is 9 centimetres.