You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1715cm3. Determine the dimensions of the bin that will minimize the surface area, where x is the length of each side of the base and y is the height of the box.

x=15.08 cm

y=7.54 cm

Step-by-step explanation:

We are given that

Volume of box=1715 cubic cm

Side length of base=x

l=b=x

Height of box=h=y

Volume of box=lbh=x^2y

Surface area of box=Area of bottom+area of four faces=

Differentiate w.r.t x

Again differentiate w.r.t x

Substitute x=15.08

Hence, the surface area is minimum at x=15.08 cm

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

they used 313 gallons of paint