Examples of cuboid in the following topics:
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- The volume of the cuboid with side lengths 4, 5, and 6 may be obtained in either of two ways.
- of the constant function 1 calculated on the cuboid itself.
- of the function z=f(x,y)=5 calculated in the region D in the xy-plane, which is the base of the cuboid.
- For example, if a rectangular base of such a cuboid is given via the xy inequalities 3≤x≤7, 4≤y≤10, our above double integral now reads:
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- A packaging company needs cardboard boxes in rectangular cuboid shape with a given volume of 1000 cubic centimeters and would like to minimize the material cost for the boxes.
- First of all, the material cost would be proportional to the surface area S of the cuboid .
- Mathematical optimization can be used to solve problems that involve finding the right size of a volume such as a cuboid.