Cube Calculator
A cube is defined as a 3-D solid object with six square faces. All the sides of a cube are of the same length.
What is Cube Calculator?
'Cuemath's Cube Calculator' is an online tool that helps to calculate the surface area, volume, and diagonal of a cube. Cuemath's Cube Calculator helps you to calculate the surface area, volume, and diagonal of a cube within a few seconds.
How to Use Cube Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find the value of the surface area, volume, and diagonal of a cube.
- Step 2: Enter the length of the side of the cube in the given input boxes.
- Step 3: Click on the "Calculate" button to find the value of the surface area, volume, and diagonal of a cube.
- Step 4: Click on the "Reset" button to clear the field and enter the new values.
How to Find Surface Area, Volume, Diagonal of a Cube?
The surface area of the cube is defined as the sum of the area of all the sides. The surface area of a cube is the number of unit squares that can be fit into it and it is measured in square units. The surface area of a cube is calculated using the formula:
The surface area of a cube = 6a2 square units
Where 'a' is the length of the side of the cube.
The volume of a cube is defined as the capacity of the cube or the measure of the amount of space it occupies. The volume of a Cube is calculated using the formula:
The volume of a Cube = a3 cubic units
Where 'a' is the length of the side of the cube.
The diagonal of a cube is defined as a line segment joining one corner to another but is not an edge is called a diagonal. The diagonal of a cube is calculated using the formula:
Diagonal of a cube = √3a units
Where 'a' is the length of the side of the cube.
Solved Example:
Find the surface area, volume, and diagonal of a cube if the length of the side is 9 units?
Solution:
Given: Side length(a) = 9 units
The surface area of cube = 6a2
= 6 × 92
= 6 × 81
= 486 square units
The volume of a cube = a3
= (9)3
= 9 × 9 × 9
=729 cubic units
Diagonal of a cube = √3a
= √3 × 9
= 15.59 units
Similarly, you can try the calculator to find the surface area, volume, and diagonal of a cube for
- Length of the side = 7 units
- Length of the side = 12 units
visual curriculum