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Cube – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">CubeCube – Definition, ExamplesTable of ContentsUnderstanding Cubes and Their Properties Definition of a Cube

A cube is a three-dimensional solid shape with six square faces, where all faces have the same size and side length. It has 12 edges and 8 vertices, with each vertex representing a corner where three edges meet. In a cube, all angles are right angles, and edges that are parallel to each other have the same length.

A cube has several important properties that make it unique among 3D shapes. It has perfect symmetry, with 4 diagonals connecting opposite vertices. The distance between any two opposite faces is equal to the side length. A cube can also be described as a regular hexahedron, meaning it's a polyhedron with six identical square faces. All faces meet at right angles to adjacent faces, and the cube has 9 planes of symmetry.

Examples of Cube Calculations Example 1: Finding the Surface Area of a Cube Problem:

The value of each side of a cube is 20 cm. What is the surface area of the cube?

Finding the Surface Area of a Cube

Step-by-step solution:

Step 1, Remember the formula for the surface area of a cube. The surface area equals 6 times the area of one face:

Surface area = 6a2a^2a2 where aaa is the side length.

Step 2, Find the area of one face. Since each face is a square with side 20 cm, the area of one face is:

a2a^2a2 = 20 ×\times× 20 = 400  cm2\text{ cm}^2 cm2

Step 3, Calculate the total surface area by multiplying the area of one face by 6:

Surface area = 6 ×\times× 400 = 2,400  cm2\text{ cm}^2 cm2 Example 2: Calculating the Volume of a Cube Problem:

The value of each side of a cube is 10 cm. What is the volume of the cube?

Calculating the Volume of a Cube

Step-by-step solution:

Step 1, Recall the formula for the volume of a cube. The volume equals the side length cubed:

Volume = a3a^3a3 where aaa is the side length.

Step 2, Substitute the given side length into the formula:

Volume = 103^33 = 10 ×\times× 10 ×\times× 10

Step 3, Complete the calculation:

Volume = 1,000  cm3\text{ cm}^3 cm3 Example 3: Calculating Surface Area for Painting Problem:

A cube shaped container with a side of 2 m is to be painted. What is the total surface area to be painted?

Calculating Surface Area for Painting

Step-by-step solution:

Step 1, Identify what we need to find. We need the total surface area of the cube that needs to be painted.

Step 2, Use the surface area formula for a cube:

Surface area = 6 ×\times× Side2^22

Step 3, Calculate the area of one face:

Side2^22 = 22^22 = 4  m2\text{ m}^2 m2

Step 4, Find the total surface area to be painted:

Surface area = 6 ×\times× 4 = 24  m2\text{ m}^2 m2 Comments(7)DDesignerMonaNovember 4, 2025I've used this cube def to teach my students. It's super clear, and the examples really helped them grasp surface area and volume. Thanks!

OOperatorRayNovember 4, 2025This glossary page on cubes is great! It's helped my students grasp the concept easily. Thanks for the clear defs and examples.

MCMs. CarterSeptember 17, 2025I used this cube definition and examples to help my kids understand 3D shapes better. The step-by-step calculations for surface area and volume were super clear—it made homework time a lot easier!

MCMs. CarterSeptember 10, 2025I used this cube definition and examples while helping my kids with their geometry homework. The step-by-step volume calculations were super clear—it’s such a helpful resource!

MCMs. CarterAugust 27, 2025I used the cube definition and examples from this page to help my kids with their math homework. It’s super clear and the step-by-step calculations made it easy for them to understand. Great resource!

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