LIL BROS MATHS: I NEED HELP. Use algebra to determine the dimensions of a spare based popper box that will hold 250ml, yet has the smallest possible surface area. Use a graphics calculator and show all working out........anyone know how to do this properly? There are lots of answers.....and no google help..
I am going to try to solve this by hand.
haha ok....i need epic help. :-(
square box of vol 250 ml minimize: smallest possible surface area requires light algebra will attempt in morning if no one gets back to you
If the box is square shaped, all its sides are the same length. So length=width=height volume=length x width x height. 250=x^3 x=6.30=length=width=height.
unless i interpreted this question incorrectly and "spare based popper box" does not refer to a cube.
the box isn't square shaped,it's a rectangular prism (base is square+top,but 4 faces are rectangular)
OK \[V =250=x ^{2}y\]\[y =250/x ^{2}\]\[SA =2xy+2xy+2x ^{2}=4xy+2x ^{2}\]Find derivative of SA. Minimise
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