The lateral area of a square prism is 144 cm² and its height is 6 cm. The length of a base side is _____ cm.

Question

nurali · Answer

Let X be the length of a base side. 

The lateral area of a square prism equals height times base side.

[A=h*X] Where A=lateral area, h=height, X=base side

The lateral area is 144 cm^2 and the height is 6 cm. So let's put that in our equation.

144=6*X

Now we divide both sided by 6 to get X.

X=24

Therefore, the length of a side of the base is 24 cm.

anonymous · Answer

Thank you! I was thinking 24, but I wasn't 100% sure.

nurali · Answer

Anytime.