## Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x +

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer: The volume of largest rectangular box is 4.5 units.Step-by-step explanation:Since we have given that

Volume =

with subject to

So, let

So, Volume becomes,

Partially derivative wrt x and y we get that

By solving these two equations, we get that

So,

So, Volume of largest rectangular box would be

Hence, the volume of largest rectangular box is 4.5 units.