An open box is to be made from a square piece of material by cutting four-centimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 256 cubic centimeters. Find the size of the original piece of material.

Question

An open box is to be made from a square piece of material by cutting four-centimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 256 cubic centimeters. Find the size of the original piece of material. 
the picture is in the link below:
www.webassign.net/laratrmrp6/2-4-086.gif

Reiny · Answer

After looking at your picture it is obvious that (x^)(4) = 256 solve for x, very easy

Anonymous · Answer

i don't how to do it, that's why i am asking anyone to show me how to do it and explain me it

Reiny · Answer

volume = (area of base)(height)
= (x^2)(4) = 4x^2
but that is given as 256

4x^2 = 256
x^2 = 64
x = √64 = 8

The base was 8 by 8, but it had 4 cm cut out on each side
so the original piece was 16 cm by 16 cm