Answer:
İt is solved by using derivative
The edges of box are 20–2x,15–2x and x
Volume=(20–2x).(15–2x).x
İf you take derivative and then find the roots of derivative we obtain exstramum points that means these values make volume maximum or minimum
But
Answer is not rational
Answer:
A = 300-x^2 for area
A = 20L * 15 -x^2 for area
20L - x^2 = 300 - x^2 /15 -x^2 could also work to find length .
SIMPLIFIED
L - x = 300/20 - ( x^2 )/ 15 - x
Step-by-step explanation:
Length = L = 20 inches.
Area of one side = A = 15 X 20 = 300 cm^2
= 300 - x^2
This means the missing corner square is also squared
Simplifies to sqrt 300 - x
but as length was asked 20L * 15 -x^2
we know one side may be 15x 15
and if one side is 15 x 20
then instead of 15 x 15 it may be 15 x 20
eitherway we are looking at one side representing area of one side of the box. 300-x is our answer.
