Length x width
Force is a measure of effort needed to accelerate an object, and is mathematically represented by: F = ma. Work is a measure of energy needed to move an object through a certain displacement, and is represented by: W = Fd. Power is a measure of the work done per unit time, and is represented by: P = W/t.
Power is the rate of performing work on an object. Mathematically, power = work divided by time =force x distance divided by time.
Assuming you can't work it out mathematically, fully submerge the object in a container filled to the top with water, then measure the volume of the water displaced.
Object Tabs
Completely depends on the nature of the projects and the tools available to you. If you have the object modeled in a 3-D CAD system, it is a straightforward function within any CAD program. Otherwise, you have to graphically or mathematically determine what the cross section is in the plane of interest, and graphically or mathematically determine the area. For a simple shape, like a sphere or cone, this is probably best done mathematically. For more complex objects, drawing to scale and measuring might be appropriate.
Area tells you the inside area of an object so you know how big the center is.
That cannot be described as it is a 4D object. It can only be defined mathematically.
top
Mathematically an integrator sums up the values during a given time span. (The area under a curve on a graph is the integral over that section)
Mathematically, the area underneath the graph of a curve is the value you get by integrating that curve. From classical mechanics, one knows that the integral of an object's velocity with respect to time gives you that object's position as a function of time. Thus, the area underneath the velocity time graph from one point in time to another is the change in position of that object between those two times or, it's distance traveled.
Yes.
Calculus can be used to find the surface area of any object given that you know the equation describing said object. It's usually easier to find the area from experiment or through using a combination of existing models to approximate the surface area