0
A box is made from a rectangular piece of metal whit length 20 inches and width 15 inches. The box has no top. What are the limitations on the size of x?
x<7.5
To find the maximum volume of the box:
A square of side x inches is cut from each corner of the sheet and the remaining flaps folded up to make the topless box.
The box therefore has a height of x", length of 20 - 2x and width of 15 - 2x.
Volume is thus x * (20 - 2x) * (15 - 2x) ie 300x - 70x2 + 4x3
The volume is greatest when this has a maximum value:
f(x) = 300 - 140x + 12x2 (or 12x2 - 140x + 300)
Quadratic formula gives a value within the limit of x = 2.83 representing a box 14.34 * 9.34 * 2.83 ie 379.04 cu in.
What else can I help you with?
A solid metal cube of side 6 inches is placed in a rectangular tank whose length width and height are 1and 2 and 3 feet What is the volume in cubic units of water that the tank can now hold?
5 7/8 cubic feet
What is the maximum allowed length for 1 inch flexible metal conduit in a circuit?
The maximum allowed length for 1-inch flexible metal conduit (FMC) in a circuit is typically 100 feet according to the National Electrical Code (NEC). However, the actual allowable length can vary based on factors such as the number of bends in the conduit and the type of conductors used. It's important to check local codes and regulations, as they may have specific requirements or limitations. Always consult the NEC and local authorities for the most accurate information.
What is a length of a yardstick?
A yardstick is a measuring tool that is exactly three feet long, which is equivalent to 36 inches or 91.44 centimeters. It is commonly used for measuring length or distance in various applications, including construction and crafting. Yardsticks are typically made of wood, metal, or plastic and often feature markings for easy reading.
A solid metal cube of side 6 inches is placed in a rectangular tank whose length width and height are 1 2 and 3 feet What is the volume in cubic units of water that the tank can now hold?
With nothing else in the tank, the tank's capacity is (1 x 2 x 3) = 6 cubic feet.The volume of the metal cube is (1/2 x 1/2 x 1/2) = 1/8th cubic foot.When the cube is in the tank, there are (6 - 1/8th) = 5 and 7/8ths cubic feet of capacity left for water.
What is the total thickness in inches of ninety-six metal disks each three eighths inch thick?
36 inches .
What is the answer of thisThe perimeter of a rectangular sheet of metal is 268 inches t he sheet is 34 inches wide How long is it?
Let the length be x:- 2(34+x) = 268 68+2x = 268 2x = 268-68 2x = 200 x = 100 inches Check: 34+34+100+100 = 268
A solid metal cube of side 6 inches is placed in a rectangular tank whose length width and height are 1and 2 and 3 feet What is the volume in cubic units of water that the tank can now hold?
5 7/8 cubic feet
How long will the metal strip be 5.65 cm 6.70 cm and 4.32 cm?
The total length of the metal strip is 16.67cm or 6.56 inches.
Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet and 6 inches and the model has a length of 7 inches what is the scale factor of mo?
Fg
Jg full metal m4 cqb stubby killer upgraded airsoft electric guns length?
24.5 inches
How do you calculate weld deposit metal weight?
At first, the area of cross section of the weld, length of the weld, volume of the weld in cubic inches, weight of weld in cubic inches. To express in formula: Weight of Weld Metal = _ Êx ÊBase Êx ÊHeight Êx ÊLength Êx ÊWeight of Material.
What is thew cost of a metal pipe with the diameter of 3 inches?
That's going to depend on: -- the thickness of the pipe's walls -- the length of the piece you want to buy -- the material of which the pipe is composed -- where you buy it
The length of the metal threads at the end of a spark plug is called the?
The length of the metal threads at the end of a spark plug is called the "reach".
What are the dimensions and available features of the long double desk you have in stock?
The long double desk in stock measures 60 inches in length, 30 inches in width, and 30 inches in height. It features two spacious work surfaces, a sturdy metal frame, and a built-in cable management system for organization.
What is metal seam used to join the bottom of the sides of rectangular or circular containers?
The Pitsburg seam.
What is the name of a rectangular file?
A rectangular file is commonly referred to as a "flat file" or "rectangular file." It is a type of hand file characterized by its flat and rectangular shape, used for smoothing or shaping materials, particularly metal and wood. The flat surface allows for effective filing on flat surfaces and edges.
What is a tart tin?
A tart tin is a metal baking pan with ridges all along the edge. It is round just like a cake pan. It also is about 2 inches in length. thanks Bianca
