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Cube Surface Area Calculator

Introduction

Welcome to out Cube Surface Area Calculator, which will help you calculate the lateral and also total surface area of the cube. A cube is a solid three-dimensional shape with six square faces that are all the same size. Each face of a cube is a square, and all the angles of a cube are right angles. Further, a cube has twelve edges and eight vertices. To illustrate some of the real-life examples of cubes, we have ice cubes, dice, boxes with the length of sides of the box is same, and sugar cubes used to sweeten drinks.

The cube’s lateral surface area is the cube’s surface area without the top face and bottom faces. Whereas, the total surface area of a cube is the total area of all 6 of its faces.

How to use the Cube Surface Area Calculator?

Using the Cube Surface Area Calculator, you can calculate the lateral surface area as well as the total surface area of the cube by inputting the length of a side of the cube for the calculation.

The variables in the Cube Surface Area Calculator include

Length of Edge (a) The length of one edge of a cube.

Lateral Surface Area (LSA) The Lateral Surface Area of the cube is calculated by the following formula

LSA=4a2 \text{LSA} = 4 a^2

Total Surface Area (TSA) The Total Surface Area of the cube is calculated by the following formula

TSA=6a2\text{TSA} = 6a^2

What is a Cube?

A Cube is a solid three-dimensional object with six faces, twelve edges, and eight vertices. Each face of the cube is a square where all the sides of the square are equal. The angles of a cube all measure 90 degrees. The name cube comes from the Latin word “cubus” which means a six-sided figure. The cube is also called a regular hexahedron.

Properties of a Cube

  1. A Cube has six faces, twelve edges, and eight vertices.

  2. The angle between any two faces of the queue is 90 degrees.

  3. Opposite edges and faces of a cube are parallel to each other.

  4. All faces of the cube are square-shaped because all edges of the cube are equal.

  5. The diagonals of the faces of a cube are equal in length.

How is the Lateral Surface Area of the Cube Calculated?

The lateral surface area of the cube is the sum of the areas of the faces of the cube except for the top and bottom faces.

The lateral surface area of the cube can be calculated using the following formula.

LSA=4a2\text{LSA} = 4 a^2

Where,

a = Length of Edge of the Cube

How is the Total Surface Area of Cube Calculated?

The Total surface area of the cube is the sum of the areas of all six faces of the cube.

The total surface area of the cube can be calculated using the following formula.

TSA=6a2\text{TSA} = 6 a^2

Where,

a = Length of Edge of the Cube

Examples

Given a cube with length of edge equal to 6 cm. What is the lateral surface area as well as the total surface area of the cube?

We can calculate the lateral and total surface area using the following formulas.

Lateral Surface Area of Cube

LSA=4a2=4×62=4×36=144  cm2\begin{aligned} \text{LSA} &= 4 a^2 \\[10pt] &= 4 \times 6^2 \\[10pt] &= 4 \times 36 \\[10pt] &= 144 \; cm^2 \end{aligned}

Total Surface Area of Cube

TSA=6a2=6×62=6×36=216  cm2\begin{aligned} \text{TSA} &= 6 a^2 \\[10pt] &= 6 \times 6^2 \\[10pt] &= 6 \times 36 \\[10pt] &= 216 \; cm^2 \end{aligned}

As you can see from the above calculation, the lateral surface area of the cube is 144 sq cm, and the total surface area of the cube is 216 sq cm.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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