this is very confusing ive been trying to do this but keep getting the wrong answer

cerenetie
Feb 22, 2018

#1**+2 **

1. Once we fold the sides up....the dimensions of the base will be

(8 - 2x) (10 - 2x)

And the height will be x

So....the volume, V, is area of the base * height =

a) V = (8 - 2x) (10 - 2x) x

b) Here's a graph of the function :

https://www.desmos.com/calculator/ubq8tavuol

The value of x that gives the max volume is when we look at the top of the curve between x = 0 and x = 4....this value is : x ≈ 1.5 in

CPhill
Feb 22, 2018