Geometry

##### Related Lessons

- 3 4 5 Triangle
- 30 60 90 Triangle
- 45 45 90 Triangle
- 5 12 13 Triangle
- Arc Length Calculator
- Area of a Circle Calculator
- Area of a Hexagon
- Area of a Kite
- Area of a Parallelogram
- Area of a Pentagon
- Area of a Rectangle
- Area of a Rhombus
- Area of a Sector
- Area of a Semicircle
- Area of a Square
- Area of a Trapezoid
- Area of a Triangle
- Center of Mass Calculator
- Circumference Calculator
- Distance Formula
- Distance Formula Calculator
- Geometry Calculators
- How to Find the Height of a Triangle
- Isosceles Triangle Theorem
- Perimeter of a Circle
- Perimeter of a Pentagon
- Perimeter of a Rectangle
- Perimeter of a Rhombus
- Perimeter of a Semicircle
- Perimeter of a Square
- Perimeter of a Trapezoid
- Perimeter of a Triangle
- Properties of a Parallelogram
- Pythagorean Theorem Calculator
- Side Angle Side Theorem
- Side Splitter Theorem
- Similar Triangles
- Special Right Triangles
- Surface Area of a Cone
- Surface Area of a Cube
- Surface Area of a Cylinder
- Surface Area of a Hemisphere
- Surface Area of a Pyramid
- Surface Area of a Sphere
- Surface Area of a Triangular Prism
- Triangle Inequality Theorem
- Types of Triangles
- Vertical Angles
- Volume of a Cone
- Volume of a Cube
- Volume of a Hexagonal Prism
- Volume of a Pyramid
- Volume of a Sphere
- Volume of Hemisphere
- Volume of Parallelepiped

Tutors/teachers:

Nikkolas

Tutor and Aerospace Engineer

# Surface Area of a Cube

## Cube Surface Area Formula

The formula for surface area of a cube is given as:**SA = 6a ^{2}**

Where

*SA*is the surface area, and

*a*is the edge length.

A cube has 6 faces that are all squares. The surface area formula is 6 times the area of a square (area of a square = a^{2}).

### Example Problems

Problem 1:

Find the surface area of a cube with an edge length of 8.

Solution:

1.) Let’s plug the edge length into the formula.

2.) SA = 6a^{2}

3.) SA = 6(8^{2}) = 384

4.) **The surface area of the cube is 384.**

Problem 2:

What is the edge length of a cube with a surface area of 864?

Solution:

1.) Let’s plug the surface area into the surface area formula and then solve for the edge length *a*.

2.) SA = 6a^{2}

3.) 864 = 6a^{2}

4.) 144 = a^{2}

5.) a = √144

6.) a = 12

7.) **The edge length is 12.**

Result :

Worksheet 1

Download.pdf

Cheat sheet

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