SOLUTION: A box without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides.

Algebra ->  Volume -> SOLUTION: A box without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides.      Log On


   

Question 1080679: A box without a top is to be made from a rectangular piece of cardboard, with dimensions 8 in. by 10 in., by cutting out square corners with side length x and folding up the sides.
(a) Write an equation for the volume V of the box in terms of x.
(b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
About 52.5 cubic inches for x=1.5
(Google search engine, input y=x(8-2x)(10-2x) )

volume, x%288-2x%29%2810-2x%29