The cube density calculator is a simple tool with great possibilities. 'How to find the density of a cube?' will never again be an issue for you! Read on to find out:

  • what is the density formula of a cube,
  • how to calculate the density of a cube step by step, and
  • how to calculate the density of a concrete cube.

How to use the cube density calculator?

Using the cube density calculator is simple and intuitive, but check those steps out in case of any doubts.

  1. See the calculator panel on the left side of the page.
  2. The first thing you'll is a cube image with some dimensions highlighted. Thanks to it, you can see what measurements we're talking about.
  3. Input your cube's mass (weight) into the cube density calculator. Remember you can always change the unit so that it suits you.
  4. Input the volume of your cube in a convenient unit. If you don't know the volume, follow the next step. Otherwise, you can skip it.
  5. Input the cube measurement that you know: either side, cube diagonal, or face diagonal length. The calculator will calculate the volume automatically.
  6. You see the result in the Density field immediately!
  7. If you want to know how to find the cube's density step by step, keep on reading the text.

What is density? What is the density formula of a cube?

Density is a term used in physics to describe mass per unit volume of space.

The formula for density is:

ρ=mV\rho = \frac{m}{V}

where:

  • ρ\rho — density,
  • mm — mass, and
  • VV — volume.

If two objects are the same size, but one is heavier, we can say it has a greater density.

A cube is a regular square prism in three orientations. It has got six square faces with three faces meeting at each vertex.

If we want to know the cube's density, we have to use a volume of a cube in the main density equation.

Volume of a cube can be calculated with the formula

V=a3V = a^3

where:

  • VV - volume,
  • aa - length of a cube edge.

Combining two equations, we get the density formula of a cube:

ρ=ma3\rho = \frac{m}{a^3}

where:

  • ρ\rho — density,
  • mm — mass, and
  • aa - length of a cube edge.

How to calculate the volume of a cube for density?

Here are three ways of calculating the volume of a cube depending on what measurement you have available. The letters in brackets refer to the picture above the calculator.

  1. You know the side (a) of a cube
    • Calculate the volume (VV) as:
V=a3\qquad V = a^3
  1. You know a cube diagonal (d)
    • use the equation:
V=(d3)3\qquad V =\left(\frac{d}{\sqrt{3}}\right)^3
  1. You know a face diagonal (f)
    • use the following formula:
V=(f2)3\qquad V=\left(\frac{f}{\sqrt{2}}\right)^3

How do I calculate the density of a concrete cube?

Although the density of concrete is already defined (2400 kg/m3), sometimes you need to calculate it yourself.

  1. Find the mass (weight) of your concrete cube.
  2. Then, measure the cube side.
  3. How to calculate the volume of a cube for density? Use the formula: volume = side 3.
  4. Now, divide the mass by the volume. density = mass/volume
  5. Your cube density calculation is ready!

FAQ

How do I find the density of a sugar cube?

To find the density of a sugar cube:

  1. Take a ruler or another measuring tool, and measure the side of the sugar cube. Let's call it an a.
  2. Calculate the volume of the cube: volume = a3
  3. Now weigh the sugar cube using a kitchen scale.
  4. To find the density, you need to solve the equation:

density = mass/volume

How do I calculate the density of a cube of wood?

Wood is not a homogeneous material, so if you want to be accurate about the density of a wooden cube, better calculate it yourself:

  1. Weigh your wooden cube.
  2. Measure the cube. The easiest way is to measure the side of it.
  3. Calculate the volume of your thing of wood. volume = (side length)3.
  4. Now, count the density of the cube. Density = mass (weight)/volume.

How do I find the density of a cube with a side of 2 ft and a weight of 5 lbs?

The density of that cube is 0.625 lb/ft3. To calculate the density of that cube:

  1. Calculate the volume of the cube with the formula volume = side3.
  2. Our case, volume = 2 ft3 = 8 ft3.
  3. To calculate density, solve the equation density = mass/volume.
  4. In our case, density = 5 lbs/8 ft3 = 0.625 lb/ft3.
  5. The answer is: density of the cube = 0.625 lb/ft3.
Aleksandra Zając, MD
Cube with side, face diagonal and cube diagonal marked.
Density
lb/cu ft
Weight/mass
lb
Volume
cu ft
Side (a)
ft
Cube diagonal (d)
ft
Face diagonal (f)
ft
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