Last updated: May 14, 2024

Cube Density Calculator

Q: 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/ft 3 . To calculate the density of that cube: Calculate the volume of the cube with the formula volume = side 3 . Our case, volume = 2 ft 3 = 8 ft 3 . To calculate density, solve the equation density = mass/volume . In our case, density = 5 lbs/8 ft 3 = 0.625 lb/ft 3 . The answer is: density of the cube = 0.625 lb/ft 3 .

Created by Aleksandra Zając, MD

Aleksandra Zając

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A young Medical Doctor certified International Board of Lifestyle Medicine Diplomate. In one of the big Warsaw clinics, she's responsible for prophylaxis and medical education. Professionally interested in nutrition, exercise, and mental health. She wants never to stop learning and currently studies postgraduate psychodietetics. She likes to bake and play with her pets – one dog and four fancy mice. See full profile

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Reviewed by Krishna Nelaturu

Krishna Nelaturu

Krishna holds a Master's degree in Applied Mechanics and never shies away from asking questions and digging deeper. He has two years of experience in steel castings and a particular fascination for vehicle dynamics. For his thesis, Krishna developed a new optimization method to reduce squeak and rattle in premium cars. He is passionate about mathematics and physics and constantly wonders about our place in the Universe. He also loves stories and storytelling and hopes to write a book someday. See full profile

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Table of contents

How to use the cube density calculator?What is density? What is the density formula of a cube?How to calculate the volume of a cube for density?More density calculators How do I calculate the density of a concrete cube?FAQs

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.

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.
Input your cube's mass (weight) into the cube density calculator. Remember you can always change the unit so that it suits you.
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.
Input the cube measurement that you know: either side, cube diagonal, or face diagonal length. The calculator will calculate the volume automatically.
You see the result in the Density field immediately!
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:

\rho = \frac{m}{V}

where:

$\rho$ — density,
$m$ — mass, and
$V$ — 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 = a^3

where:

$V$ - volume,
$a$ - length of a cube edge.

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

\rho = \frac{m}{a^3}

where:

$\rho$ — density,
$m$ — mass, and
$a$ - 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.

You know the side (a) of a cube
- Calculate the volume ( $V$ ) as:

\qquad V = a^3

You know a cube diagonal (d)
- use the equation:

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

You know a face diagonal (f)
- use the following formula:

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

More density calculators

We've got more cool density calculators at our site:

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.

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

FAQs

How do I find the density of a sugar cube?

To find the density of a sugar cube:

Take a ruler or another measuring tool, and measure the side of the sugar cube. Let's call it an a.
Calculate the volume of the cube: volume = a³
Now weigh the sugar cube using a kitchen scale.
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:

Weigh your wooden cube.
Measure the cube. The easiest way is to measure the side of it.
Calculate the volume of your thing of wood. volume = (side length)³.
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:

Calculate the volume of the cube with the formula volume = side³.
Our case, volume = 2 ft³ = 8 ft³.
To calculate density, solve the equation density = mass/volume.
In our case, density = 5 lbs/8 ft³ = 0.625 lb/ft³.
The answer is: density of the cube = 0.625 lb/ft³.