- #1

- 11

- 0

## Homework Statement

Chocolate Box Company is going to make open-topped boxes out of 5 × 14-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the nearest tenth.)

## Homework Equations

V = length * width * height

## The Attempt at a Solution

V(x) = x(14-2x)(5-2x)

=70x-38x^2+4x^3

d/vx = 12x^2 - 76x + 70

12x^2 - 76x +70 = 0

= 1.11 and 5.21