Cube Density Calculator

Created by Krishna Nelaturu
Last updated: Nov 16, 2022

Our cube density calculator is here to help you find the density of any cubical object! A cube is a three-dimensional figure contained by six square faces. In this article, we shall take a brief look at the density of a cube, including:

  • What is density?
  • Density of a cube formula
  • How to calculate the density of a concrete cube?

What is density?

Density is a measure of how much mass an object has in a given volume. The denser an object is, the more mass it has in a given volume. It is given by:

ρ=mV\rho = \frac{m}{V}

Where:

  • ρ\rho - Density of the object;
  • mm - Mass of the object; and
  • VV - Volume of the object.

The SI unit for density is kilograms per cubic meter (kg/m3), but it is also common to express it in grams per cubic centimeter (g/cm3) or pounds per square foot (lb/ft3). Our density converter can help you with any unit conversion necessary.

Density is an important property of matter because it affects how objects interact. For example, denser objects sink in less-dense fluids, and less dense objects float in more viscous fluids. Denser materials are also often more difficult to compress.

For further reading on density, we recommend our density calculator!

Density of a cube formula

First, let's look at the different methods to calculate a cube's volume. The volume of a cube from its side length aa is given by:

V=a3V = a^3

The volume of a cube from its cube diagonal dd is given by:

V=(d3)3V = \left( \frac{d}{\sqrt{3}} \right)^3

The volume of a cube from its face diagonal ff is given by:

V=(f2)3V = \left( \frac{f}{\sqrt{2}} \right)^3

Combining this with the general density equation, we get the density of a cube formula:

ρ=mV=ma3=m(d3)3=m(f2)3\rho = \frac{m}{V} = \frac{m}{a^3} = \frac{m}{\left( \frac{d}{\sqrt{3}} \right)^3} = \frac{m}{\left( \frac{f}{\sqrt{2}} \right)^3}

Now let's look at how to calculate the density of a concrete cube. We require:

  1. Mass of the concrete cube. We can use convenient weighing equipment to measure a cube's mass.
  2. Volume of the concrete cube. We would need to calculate this using one of the following parameters:
    • Cube side length aa;
    • Cube diagonal dd; and
    • Cube face diagonal ff.
  3. Once we know the mass and volume, we divide the mass by the volume to get the density!

Make sure you get the units right! Our weight converter and volume converter will be of help.

How to use this cube density calculator

This cube density calculator is simple to use:

  • Enter the mass and volume of the cube, and the calculator will immediately show you its density.
  • If the cube volume is unknown, enter any one of the cube dimensions along with the cube's mass:
    • Cube side length aa;
    • Cube diagonal dd; or
    • Cube face diagonal ff.
  • You can also use this calculator to calculate the unknown mass of an object whose density is known! Simply enter the density and the volume (or any of the three cube dimensions), and it'll calculate the cube's mass!
Krishna Nelaturu
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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