Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume
Use derivative test
First derivative V'(x)
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is