The Great Pyramid of King Khufu was built of limestone inEgypt over a 20-year time period from 2580 BC to 2560 BC.Its base is a square with side length 756 ft and its heightwhen built was 481 ft. (It was the tallest man-made structurein the world for more than 3800 years.) The densityof the limestone is about 150 lb / cu . ft .(a) Estimate the total work done in building the pyramid.(b) If each laborer worked 10 hours a day for 20 years, for340 days a year, and did 200 ft - lb / h of work in liftingthe limestone blocks into place, about how many laborerswere needed to construct the pyramid?
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
The Great Pyramid of King Khufu was built of limestone in
Egypt over a 20-year time period from 2580 BC to 2560 BC.
Its base is a square with side length 756 ft and its height
when built was 481 ft. (It was the tallest man-made structure
in the world for more than 3800 years.) The density
of the limestone is about 150 lb / cu . ft .
(a) Estimate the total work done in building the pyramid.
(b) If each laborer worked 10 hours a day for 20 years, for
340 days a year, and did 200 ft - lb / h of work in lifting
the limestone blocks into place, about how many laborers
were needed to construct the pyramid?
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