How do you find the algebraic formula for this given quantity?
 The Volume V of a box with a square base of side X and height 2X.

Hi penguin21!!


The box of the question has the shape of a rectangular prism, and in
this case the rectangular base is a square.
The formula of the volume of a rectangular prism is:

V = Length of base * Width of base * Height  

Because the base is a square:
Length of base = Width of base = X

and 
Height = 2 * X

Then:
V = Length of base * Width of base * Height =
  = X * X * 2X =
  = 2 * X^3


The algebraic formula for the Volume V of a box with a square base of
side X and height 2X is:
         3
V = 2 * X



I hope that this helps you. Feel free to request for any clarification
if it is needed.

Regards.
livioflores-ga

Hint:  Find the area of the base (it's a square!), then multiply by
height to get the volume.

regards, mathtalk-ga