Abox with a square base and open top must have a volume of 48668 cm3 . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [hint: use the volume formula to express the height of the box in terms of x .] simplify your formula as much as possible.

Step-by-step explanation:

Given that a box with a square base and  open top has volume = 48668 cm^3

i.e. if x is the side of square and h the height then

Surface area of open box = area of base + area of 4 sides

=

Thus we get

Surface area in terms of x as

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

2 is the final ! : )