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How to Calculate Volume and Density
Calculating volume and density is common among students and is used in almost every subject. This article will teach you how to calculate volume and density for an object or for any problem.
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EditSteps
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1Distinguish between volume and density.
- Volume (v) - It's the space occupied by an 3-dimensional object enclosed by a close boundary.
- Density (ρ) - It's simply mass/unit volume or m/v for an object.
Ad - Volume (v) - It's the space occupied by an 3-dimensional object enclosed by a close boundary.
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2If mass (m) and volume (v) are given, calculate density by using the formula m/v. -
3If volume is not given and instead dimensions for the object are given, calculate the volume first. Here are some formulas needed to calculate volume of an object.
- Cube
- v=(edge or length of any side)^3
- Cone
- v=1/3 π*(radius of base)^2 *(height of cone)
- Cylinder
- v=π*(radius of base)^2 *(height of cylinder)
- Prism
- v=(area of the base)*(height)
- Rectangular Prism
- v=length * width * height
- Pyramid
- v=1/3* (area of base) * (height of pyramid)
- Tetrahedron
- v= sqrt2/12 *(edge length)^3
- Sphere
- v=4/3 π*(radius)^3
- Cube
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4Considering SI units, units for volume is (meter)^3 and for density it's kilogram/(meter)^3. Don't forget to put units to quantities after calculation. -
5If an irregular object is given in a problem and you are asked to find volume (density and mass given), use the same density formula.Ad
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EditTips
- Often objects are given as a combination of other geometrical objects, so divide them into smaller basic groups, find their volumes individually, and then add them all to get the volume of the object.
EditWarnings
- Be careful to put all dimensions in SI unit or C.G.S unit before calculating anything.
Article Info
Categories: Physics
In other languages:
Español: calcular el volumen y la densidad, Português: Calcular Volume e Densidade, Italiano: Calcolare Volume e Densità, Deutsch: Volumen und Dichte berechnen, Русский: найти объем и плотность
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