Make an open-top box from a rectangle of cardboard 9 by 15 inches by cutting a square from each corner and folding up the sides. The box needs to have the maximum possible volume.

If each square you cut out of the corner is x by x inches, write an expression or function for the volume of the box, V(x), in terms of x. Show all your work.

Plot the function to find the maximum. Clearly label or state the (x, y) coordinates of the value of x that optimizes the function and the maximum volume (y).

How many pennies would it take to fill the box?

For 10 points!

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation:

150.6

all i did was i multiplied 5.02 by 30

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: