Question

Find an expression for volume of a body in Cartesian coordinates system

Answer 1

An expression for volume of a body in Cartesian coordinates system is

dv=dx×dy×dz.

Where dv is the differential of the volume.

dx,dy,dz are the differential of the axis of 3 dimensional space such as x-axis,y-axis and z-axis

Answer 2

The volume of a solid  U  in Cartesian coordinates  x y z   is given by

V = ∫ ∫ ∫ dx dy dz

        U

Explanation:

• A Cartesian coordinate is a number system that is used to locate the position of a point or object with reference to the fixed point.
• The shortest distance of the object is measure from the origin point which is perpendicular to it from the two fixed points.
• It has three planes with three fixed points in it. These points intersect at the origin.
• The volume of a solid  U  in Cartesian coordinates  x y z   is given by
• V = ∫ ∫ ∫ dx dy dz

                  U