# Volume of Cubes

The purpose of this blog post is to make you more familiar with how to calculate the volume of a cube.

Cube’ is a $$3D$$ solid object having 6 square faces as well as all of the sides of a cube are equal in length. It’s also known as a regular hexahedron and it is one of the $$5$$ platonic solids. The shape comprises $$6$$ square faces, $$8$$ vertices, and $$12$$ edges. The length, breadth, and height equal the equal measurement in a cube since the $$3D$$ figure is a square with all sides equal.

## Related Topics

In a cube, its faces share a commonplace boundary known as the edge which is believed to be the bounding line of its edge. The structure is distinct with each of the faces being linked to $$4$$ vertices as well as $$4$$ edges, vertex linked with $$3$$ edges and $$3$$ faces, and the edges are in touch with $$2$$ faces and $$2$$ vertices.

The characteristics are:

• Cubes have twelve edges, six faces, and eight vertices.
• All the cube faces are shaped like a square so the length, breadth, and height are equal.
• The angles in-between any $$2$$ faces or surfaces equal $$90°$$.
• Opposite planes or faces of a cube are parallel to one another.
• The cube’s opposite edges are parallel to one another.
• Each cube face meets the additional $$4$$ faces.
• Each cube vertices meets the $$3$$ faces and $$3$$ edges.

## Volume of a Cube Utilizing Edge Length

The measurement of all a cube’s sides is equal, so we simply need to understand $$1$$ side to determine the cube’s volume. The steps for calculating the cube’s volume utilizing the side’s length are here,

• Step one: Note the length of the cube’s side.
• Step one: Utilize the formula for calculating the volume utilizing the side’s length: Cube volume $$=$$ $$(side)^3$$.
• Step three: Convey the final response along with the unit (cubic units) to correspond to the given volume.

## Volume of Cube Utilizing Diagonal

Given a diagonal, you would be able to complete the steps provided underneath to determine a cube’s volume.

• Step one: Note the size of the diagonal of a particular cube.
• Step two: Use the formula to locate its volume utilizing diagonal:$$\frac{\sqrt{3×(diagonal)^3}}{9}$$
• Step three: Convey the achieved outcome via cubic units.

### Volume of Cubes – Example 1:

Find the volume of the cube.

Solution:

The formula for the volume of the cube will be as follows: Volume of a cube$$=$$ Width $$×$$ Length $$×$$ Height. If we consider each side of cube $$9$$ then the volume of the cube will be : $$9 × 9 × 9=729$$ $$cm^3$$

### Volume of Cubes – Example 2:

Find the volume of a cube with a length of $$10$$ meters.

Solution:

Volume of a cube$$=$$ Width $$×$$ Length $$×$$ Height. So, volume of a cube$$= 10 × 10 × 10= 1000$$ $$m^3$$

## Exercises for Volume of Cubes

Find the volume of each cube.

1)

2)

## Answers

• $$\color{blue}{343in^3}$$
• $$\color{blue}{1,728mm^3}$$

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