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cube

Definition

A cube is a three-dimensional shape with six square faces. The faces of a cube are all congruent, meaning that they are all the same size and shape. The vertices of a cube are the points where the faces meet. There are eight vertices on a cube.

The cube is a regular polyhedron, meaning that it is a three-dimensional shape with all of its faces as regular polygons. The regular polygons on a cube are squares.

The cube is one of the five Platonic solids, which are the five regular polyhedra that can be made with only regular polygons as faces. The other four Platonic solids are the tetrahedron, the octahedron, the dodecahedron, and the icosahedron.

The cube has many interesting properties. For example, the volume of a cube is equal to the side length cubed. This means that if the side length of a cube is 1 unit, then the volume of the cube is 1 cubic unit.

The cube is also a very stable shape. This is because the weight of the cube is evenly distributed over all of its faces. This makes the cube very resistant to tipping over.

The cube is a versatile shape that has many uses. It is often used in games, puzzles, and toys. The cube is also used in architecture and engineering.

How can the word be used?

The volume of a cube is equal to the cube of its side length.

cube

Different forms of the word

Noun: cube (plural: cubes) three-dimensional shape.

Adjective: cubic.

Verb: to cube.

Etymology

The word "cube" comes from the Latin word "cubus," which means "a solid figure with six square faces." The Latin word "cubus" is ultimately derived from a Proto-Indo-European word meaning "to cut.".

Question

What objects around you are the shape of a cube?

AQA Science Exam Question and Answer

Question:

A cube is a fundamental three-dimensional shape with unique properties. Calculate the volume and surface area of a cube with sides measuring 5 cm.

Answer:

To calculate the volume of a cube, we use the formula: Volume = Side length × Side length × Side length.

In this case, the side length (l) of the cube is 5 cm.Volume = 5 cm × 5 cm × 5 cm = 125 cm³.

To find the surface area of a cube, we use the formula: Surface Area = 6 × Side length × Side length.

Again, the side length (l) is 5 cm. Surface Area = 6 × 5 cm × 5 cm = 150 cm².

So, the volume of the cube is 125 cubic centimetres, and its surface area is 150 square centimetres when each side measures 5 cm.