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