Thread: volume

Square corners, with side

x cm, are cut from a square card with side 6 cm.

Then the edges are folded up to make a box.

Show that the volume of the box is V cm3 where V = 36x – 24x2 + 4x3.

much appreciated

Originally Posted by abey_27

Square corners, with side

x cm, are cut from a square card with side 6 cm.

Then the edges are folded up to make a box.

Show that the volume of the box is V cm3 where V = 36x – 24x2 + 4x3.

much appreciated

The volume is calculated by:



With your values you get:





Now plug in the terms into the formula of the volume, expand the brackets and collect like terms.