Q&A for How to Calculate Volume and Density

Return to Full Article

Coming soon

Add New Question

Question

What volume of dirt do I need to fill a hole with a diameter of 16 feet and a depth of 20 feet?

Community Answer

If we assume that the hole is cylindrical, the volume would be r²πh, where the radius (r) is half the diameter 16/2 = 8ft and the height (h) is 20ft. Then you have 64 * π * 20, which equals approximately 4,021. Thus you will need 4,021 cubic feet of dirt.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 10 Helpful 27
Question

There is a solid cone base radius of 6 cm and a vertical height of 8 cm that is made of metal whose density is 3.1g/cm cube. What is the mass of the cone?

Community Answer

First what is the formula for the volume of a cone? (π)(r^2)(h/3). So when you input the parameters you get approximately 301.59 cm cubed. This is the volume. Since the density of the metal is 3.1g/cm cubed it means that each cm cubed weighs 3.1g. So you take the volume and multiply it by the density, which comes to 934.929 grams.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 3 Helpful 10
Question

What sign do you use for calculating mass/volume?

Community Answer

It's the division sign, which, on most computers is the '/' or "slash" is used, so 1/4 is the same as one divided by four, (= one quarter) which may also be written in decimals as 0.25. So, in the example, (density=mass/volume), the mass is divided by the volume.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 11 Helpful 18
Question

How do I calculate volume based on derivative?

Community Answer

Density is the mass (grams or pounds or whatever else) of an object divided by its volume (liters or gallons or whatever else). What you end up with is grams/liter or pounds/gallon, and that is the density. The volume can be figured out by reversing the formula essentially, you need to multiply density by volume.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 5 Helpful 8
Question

How do I calculate length and width from volume and density?

Community Answer

If you want to calculate length and width of a cube from volume, you can just take the cubed root (aka take the volume to the power of 1/3).

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 16 Helpful 17
Question

How do I find volume and density?

Community Answer

Follow the instructions listed in the article above.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 8 Helpful 5
Question

How do I convert from one density to another density?

ths 130028

Community Answer

Assuming you mean from one unit of density to another: The two most common units of density are kg/m^3 and g/cc (or g/cm^3). You can convert from g/cc to kg/m^3 by multiplying by 1000 (10^3) and reverse it by dividing by 1000. If you get density with capacity measurements, such as kg/l and g/ml, remember that 1 cc (cm^3) = 1 ml.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 0
Question

What is the correct symbol for cubic centimeters, "cm3" or "cm-3"?

ths 130028

Community Answer

A cubic centimetre is cm^3 or cc. However, you could show density as g * cm^-3. This is because of the negative exponent rule which says that: a^-n = 1/a^n. Thus g * cm^-3 = g * 1/cm^3 = g/cm^3.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 1
Question

What is the mass of a steel girder which is 20m long 0.1m wide and 0.1m high?

Donagan

Top Answerer

The girder's volume is (20 m)(0.1 m)(0.1 m) = 0.2 cubic meter. Depending on the type of steel being used, the density of the girder is approximately 7,850 kg per cubic meter. So the mass (weight) of the girder is (0.2 cu m)(7,850 kg/m³) = 1,570 kg or 3,454 lb.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 0
Question

If the object is floating, is the volume still the water displaced or is it different?

Donagan

Top Answerer

The volume of the water displaced is equal to the volume of that portion of the object that is below the surface of the water.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 0