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Piece Boxed
Jewelry Boxes as the perfect gift
While it is most certain that you have carefully and painstakingly selected all your jewels and jewelry, most people forget to pay attention to the receptacles for their prized possessions. Just like your jewelry, jewelry boxes too come in various shapes, sizes, uses, colors, finishes, materials, etc. and must be selected with care, to help keep your jewelry safe and to prevent any excessive wear. Especially when gifting jewelry, these boxes can add that extra special touch or personality. They make excellent gifts by themselves too. A well-made jewelry box ends up becoming almost as important as the jewels it holds safe.
There is nothing more beautiful than a rich piece of wood. These pieces come in a range of wood types and finishes, allowing you to easily select the box that best fits with the design and colors of your choice. The most common woods used for jewelry boxes are oak or mahogany, but you can also find boxes constructed of teak, burl wood or cherry. These jewelry boxes are often the largest boxes available, so they make a good choice for those who have extensive jewelry collections.
Leather is also a popular material used for making these jewelry boxes; The leather casings may come in a wide range of hues, from basic black and brown to rainbow colors like hot pink or lime green. Leather jewelry boxes may be a single tier with compartments for various pieces, or it may consist of more than one layer, either in removable or extendable trays. The inside of the box is usually lined in a soft fabric to keep pieces scratch-free, and individualized compartments prevent damage to your favorite pieces.
Women and girls who love music boxes will adore musical jewelry boxes that provide storage, as well as style. These musical boxes come in a wide range of shapes, sizes and materials, allowing everyone to find a box that fits her needs and style. Musical jewelry boxes can often be customized, so you can choose the box you like and then select the melody to go inside it. For little girls, the traditional "ballerina" box is a good choice, with a small ballerina doll that twirls round and round as the melody plays. Majority of the musical boxes are equipped with a knob at the back of the box that keeps the melody playing with a few simple twists.
If you like to take your collection on the road, a travel jewelry box is the perfect solution. Crafted of smart leather or easy-care fabric, these travel boxes keep all of your pieces safe and organized. Some cases are actual boxes that provide additional protection for your jewelry, while others are simple fabric rolls that fit easily into a purse or suitcase. Most have different sizes of compartments, so you can store many different types of jewelry pieces in a single storage unit
About the Author
An open box is made from a 8 inch 8 inch piece of cardboard by cutting equal squares from each corner and fol?
An open box is made from a 8 inch 8 inch piece of cardboard by cutting equal squares from each corner and folding up the sides. What size squares should be cut out to create a box with maximum volume? Thanks for any help.
Let the length of each square cut be x inches.
Thus, we have:
length of box = (8 - 2x) inches
breadth of box = (8 - 2x) inches
height of box = 2x inches
Volume of box
= V
= length * breadth * height
= (8 - 2x) * (8 - 2x) * x
= 4x^3 - 32x^2 + 64x
We will differentiate V and set the derivative to zero to find the critical values.
V'
= d/dx (4x^3 - 32x^2 + 64x)
= 12x^2 - 64x + 64
V' = 0
12x^2 - 64x + 64 = 0
3x^2 - 16x + 16 = 0
3x^2 - 4x - 12x + 16 = 0
(3x^2 - 4x) - (12x - 16) = 0
x(3x - 4) - 4(3x - 4) = 0
(x - 4)(3x - 4) = 0
x = 4 or x = 4/3
Note that x can only be between 0 and 4.
This is because the cardboard is of length and breadth 8, and 4 squares of length 4 will already have used up the entire cardboard.
The maximum volume can only occurs at critical values and boundary values.
Since x is between 0 and 4, the boundary values are x = 0 and x = 4.
Now, we will substitute in each value (including the critical values) to find the maximum possible value.
When x = 0, V = 4x^3 - 32x^2 + 64x = 4(0)^3 - 32(0)^2 + 64(0) = 0
When x = 4, V = 4x^3 - 32x^2 + 64x = 4(4)^3 - 32(4)^2 + 64(4) = 0
When x = 4/3, V = 4(4/3)^3 - 32(4/3)^2 + 64(4/3) = 1024 / 27
Hence, the maximum volume is 1024 / 27 inches^3
Shun Classic 3-piece boxed set flat