Here is the question:
I have posted a link there to this topic so the OP can see my work.Mathematics -derivatives?
Can someone help me to solve the following problem please
A box in the shape of a cuboid has dimensions:
Height: 50 cm
Width: 30 cm
Height: 20 cm
a) Calculate the total transmission restriction area and volume. ( i have done this)
need help with number b
b) Construct a new box with the same restriction area as the first box, but with different dimensions. Which dimensions of the box (length, width and height) give the largest possible volume?
(Hint: second box smallest side will be square. Calling the short side length of x and the long side length of y)
Here's how far I've come:
V = 20 * 30 * 50 = 30000 cm ^ 3
A = 2 (20 * 30) +2 (20 * 50) +2 (30 * 50) = 6200cm ^ 2
V = x ^ 2 * y
A = 2 (x * x) +2 (x * y) +2 (x * y) = 2x ^ 2 +4 xy = 6200 cm ^ 2
I should use the derivatives but I do not know how.