Question

A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have.

Answer 1

So this is a figure of what your box is going to look like.

Answer 2

Volume = (3-x)(3-x)(x)

Answer 3

Domain (0,3)

Answer 4

Graph

Answer 5

My bad volume = (3-2x)(3-2x)(x)

Answer 6

MAximum volume is 27

Answer 7

What would be the expression for the volume V in terms of x and y.

Answer 8

y = (3-2x)(3-2x)(x)

Answer 9

it says its wrong

Answer 10

What does it give you

Answer 11

Write an expression for the volume V in terms of x and y.
Use the given information to write an equation that relates the variables x and y.
Use it to write the volume as a function of x.
Finish solving the problem by finding the largest volume that such a box can have.

Answer 12

for each one i have to write an answer

Answer 13

I'm not sure then. Sorry