A witch is going to roast a boy (who was bad at Calculus) in an oven. She’s got a rectangular piece of golden foil of length 8 and width 3. She is going to make a baking tray designed as follows.
Four identical squares are cut off at the corners of the foil and then four sides are bent to form a box. Find the maximal volume of such a baking tray

Question

A witch is going to roast a boy (who was bad at Calculus) in an oven. She’s got a rectangular piece of golden foil of length 8 and width 3. She is going to make a baking tray designed as follows.
Four identical squares are cut off at the corners of the foil and then four sides are bent to form a box. Find the maximal volume of such a baking tray

anonymous · Answer

how do i find the domain of x?

anonymous · Answer

if V(x) = x(3-2x)(8-2x). letting x being the width.

anonymous · Answer

x is the length of the side of the square cut off?

anonymous · Answer

yup! edges of the squares i mean sry haha

anonymous · Answer

for the domain of x, 0=<x>= half the shortest side

anonymous · Answer

do you see why?

anonymous · Answer

no, pls explain

anonymous · Answer

|dw:1382018335915:dw|