Folder Up.com

If 1300 square centimeters of material is available to make a box with a square base and an open top?

If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume = cubic centimeters.

How about like this:

let a=sqrt(1300)

Volume = L * W * H
L = a -2x
W = a – 2x
H = x

a
———-
x _| |__x
| | (Ouch Ugly picture hope you get the point)
| |
— —
|______|

So V = (a – 2x) * (a – 2x) * x

so V(x) = x(a – 2x)^2

PRODUCT RULE:
get V’(x) = f(x) * g(x) = f’g + fg’ = 1 * (a – 2x)^2 + x * 2(a – 2x) * (-2)
V’(x) = (a – 2x)^2 -4x * (a – 2x)
V’(x) = (a – 2x)^2 -4x * (a – 2x)
V’(x) = (a – 2x) *( (a – 2x) -4)

Well then get the zero for that V’ which will be a local min / max of V

Solve for x in: 0=(√1300-2x)^2 – 4x(√1300-2x)
Test the zeros for your max

How to Make a Open Shoulder Top Out of a T-Shirt

Culligan FM-15RA Level 3 Faucet Filter Replacement Cartridge $7.99 ...

Lodge Logic Pre-Seasoned Skillet $22.99 Made by the cast iron experts at Lodge, this revolutionary pan is preseasoned, so it's ready to cook right out of the box. It's perfect for making virtually anything from bacon and eggs to grilled sandwiches, pan-fried fish, and fabulous cornbread. Each has dual pour spouts and a helper handle. Lodge Logic's new preseasoning process penetrates the metal's pores thoroughly and uniformly, so it look...

Cuisinart DCC-1200PRC 12-Cup Replacement Carafe-Black $18.18 Cuisinart DCC-1200PRC 12-Cup Replacement Coffee Carafe...

Greatest Hits $7.10 All products are BRAND NEW and factory sealed. Fast shipping and 100% Satisfaction Guaranteed....

Fallen $5.94 The Daredevil soundtrack provided a nice boost for this previously unknown quartet from Little Rock, Arkansas. Evanescence's songs "My Immortal" and the imposing "Bring Me to Life" are clear standouts in the film, mainly because they work so well with the dramatic, eerie undertones of the storyline. They reappear here on the band's debut, alongside a selection of similarly brooding tracks that evo...

The Best Of Santana $5.59 There are a couple of Santana best-of compilations out there, and even a few mastersound gold-plated CDs, but this collection is as good a place as any for a newcomer to explore. It contains the band's three essential charters--"Black Magic Woman," "Evil Ways," and "Oye Como Va"--along with some lesser hits. Santana broke barriers, making ethnic-influenced music palatable to the mainstream, but th...

Heavy-duty Laundry Duffel Bag $17.99 This laundry duffel bag features a heavy-duty polyester construction with an open-top zipper design. This bag features two exterior pockets and shoulder straps and handles for easy transport.

Safco Reflections Open Top Trash Bin $235.96 This trash bin is the ideal open top receptacle for areas where sanitary, hands-off disposal is desired. This trash bin features a classic torpedo design with 6-inch open top for drop-in convenience.

Rubbermaid Black Open-top Half-round Receptacle $168.24 This Rubbermaid steel 12-gallon receptacle features an open top and half-round design. This garbage can comes in a black and chrome color with powdercoated enamel and brass accents.

Receptacle,Open Top,Sam $527.99 RECEPTACLE,OPEN TOP,SNAL

Receptacle,Open Top,Bk $314.99 RECEPTACLE,OPEN TOP,BK

Open-Top Bus $24.99 Open-Top Bus - Photographic Print

Open-Top Car $24.99 Open-Top Car - Photographic Print

Atrium Round Open Top Receptacle $781.03 Atrium Round Open Top Receptacle