0
A box with a square base and open top must have a volume of 32000cm3 find the dimensions of the box that minimize the amount of material used?
Suppose the sides of the base are x cm, and the height is h cm.
Then the volume = x2*h = 32000 cm3
The amount of material used for the base and 4 sides (no top) is x2 + 4xh cm2
So the requirement is to minimise x2 + 4xh
subject to x2h = 32000 or h = 32000/x2
So minimise x2 + 4x*32000/x2
or x2 + 128000/x
Setting the derivative = 0,
2x - 128000/x2 = 0
or 2x3 = 128000
or x3 = 64000 or x = 40 cm.
And then h = 32000/x2 = 20 cm.
What else can I help you with?
The amount of material in an object?
Mass
What is another word for proportions?
dimensions / size The proportions / dimensions / size of the house PART, portion, amount, quantity, bit, piece, percentage, fraction, section, segment, share.
Is transmittance a more accurate measurement?
Transmittance is a measurement of the amount of light that is able to pass through a material, and it can be used to accurately determine the amount of light that is transmitted. However, the accuracy of the measurement depends on factors such as the quality of the equipment used and the conditions under which the measurement is taken. Therefore, while transmittance can provide an accurate measurement, it is important to ensure that proper procedures and equipment are used to minimize errors.
The amount of water a pot can hold?
is called its capacity and depends upon the dimensions of the pot up to its lowest aperture, its porosity, its strenght.
The amount of mass in a given volume of matter?
...will be the product of the material's volume and density.
What is the amount of space that material takes up?
The amount of space that a material takes up is known as its volume, which is typically measured in cubic units such as cubic meters or cubic centimeters. The volume of a material is determined by its dimensions and shape.
What is near net forging process?
Near net forging is a manufacturing process where a part is forged to a shape that is very close to the final desired shape, reducing the amount of machining required to finish the part. This process helps to minimize material waste and overall production costs while achieving precise dimensions and mechanical properties.
Minimum amount of material required to make a component to fullfill its requirement?
this is something that you should calculate using design formulas for the component you are making. example: if you have to manufacture shaft you have to calculate its dimensions for the load it is to take and the forces acting on the shaft.If this is done you get the value of dimensions and now you could find out the minimum value of material required for the shaft
Does the mass of a planet equal the size?
No, the mass of a planet and its size are not the same. Mass refers to the amount of matter in an object, while size refers to the physical dimensions of the object. A planet's mass is determined by the total amount of material it contains, while its size is a measure of its physical dimensions.
The amount of material in a substance?
The amount of material in a substance is mass.
Amount of material contained by a body?
This amount of material is the mass.
What is plastigauge?
Plastigauge is the name given to a precise method of measuring clearances between bearing surfaces using a plastic material. It consists of a material with precise known dimensions and deformation characteristics. The plastigauge material is sandwiched between the clean bearing surfaces. The dimensional clearance is then determined by comparing the amount that the gauge material has expanded or flattened. Dimensions of better than .oo1 inch can be accurately measured by this method. The material is usually color coded to indicate the range of measurement use for each gauge.
What can you do to get your back child support droped do to being incarcerated in mass?
You need to contact the court and request a modification. You must act ASAP to minimize the amount of arrears.You need to contact the court and request a modification. You must act ASAP to minimize the amount of arrears.You need to contact the court and request a modification. You must act ASAP to minimize the amount of arrears.You need to contact the court and request a modification. You must act ASAP to minimize the amount of arrears.
Does the value of thermal conductivity depend on the dimension of the specimen?
Yes, the value of thermal conductivity can depend on the dimension of the specimen due to factors such as heat transfer pathways and interfacial resistance. For some materials, thermal conductivity can vary with thickness or shape, impacting the overall heat transfer characteristics of the specimen.
How does landscaping use geometry?
Geometry is actually widely used in the landscaping industry; it is used to consider the height of shrubs as well as the dimensions of a garden and its placement, and dimensions of the material which should be used. Architects use an incredibly large amount of geometry. This ranges from determining the angle and lengths at which materials.
How u can possibly help to minimize climate change?
we can minimize climate change by only our small effort. we have to avoide the things that emits corbondioxide in large amount. we can also do plantation work, which also helps in large amount.
When this occurs the same amount of material occupies the same amount of space but the position of the material changes.?
shearing
