Center of mass is defined as the point about which the sum of mass moment vectors of all the points of the body is equal to zero.
Center of mass = [(mass of a point object)*(distance of that point from origin)]/(Total mass)
For a rigid body we need to integrate this expression.
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Density = Mass/Volume so Volume = Mass/Density. Provided the object is solid.
nM=m moles of solid multiplied by Molar mass (Atomic mass on periodic table) = Mass of solid
The center of mass of a sphere is its geometric center.
Center of mass of an equilateral triangle is located at its geometric center (centroid).
The volume of a rectangular solid with those dimensions is 27 cm3.If we also knew its mass, then we could calculate its density.