Cube

A cube is a three-dimensional geometric shape with six square faces, twelve straight edges, and eight vertices (corners).

Formulas for Cube

Let's look at some important formulas related to cubes:

Surface Area of a Cube

The surface area (A) of a cube with side length (s) is given by the formula:

A = 6s²

Volume of a Cube

The volume (V) of a cube with side length (s) is given by the formula:

V = s³

Example Problems

Example 1: Calculating Surface Area

If a cube has a side length of 4 units, calculate its surface area.

Solution:

A = 6 * 4² = 6 * 16 = 96 square units

Example 2: Calculating Volume

If a cube has a side length of 5 units, calculate its volume.

Solution:

V = 5³ = 125 cubic units

Properties of Cube

Some important properties of a cube include:

• All angles are right angles (90 degrees).
• All faces are congruent squares.
• All edges are congruent in length.
• Diagonals of each face are equal in length.

Summary

To summarize, a cube is a three-dimensional shape with six square faces, twelve edges, and eight vertices. We can calculate its surface area and volume using specific formulas. It has various properties that make it a unique and interesting geometric object.