*Note that I'm assuming the prism is a triangular prism
Volume = 60cm³
Height = 6cm
Width = 2cm
The equation for the volume of a triangular prism is:
V = [tex]\frac{b * h * l}{2}[/tex]
Let's substitute in the values we already know:
60 = [tex]\frac{2 * 6 * l}{2}[/tex]
And now we need to make l the subject by multiplying both sides by 2:
120 = 2 x 6 x L
Simplify:
120 = 12L
Flip to make easier to read:
12L = 120
Divide both sides by 12 to get the value of L (length):
L = 10
And let's show proof that L = 10 (remember that V (volume) should be equal to 60):
V = [tex]\frac{2 * 6 * 10}{2}[/tex]
V = [tex]\frac{120}{2}[/tex]
V = 60
Therefore we can determine the the length is indeed 10cm.
I hope this helped! :)
