1. What is Lateral Surface Area of Cube?

The Lateral Surface Area of a Cube is the area of all the side faces of the cube, excluding the top and bottom faces. It represents the surface area of the four vertical sides of the cube.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( LSA \) — Lateral Surface Area of Cube (m²)
• \( TSA \) — Total Surface Area of Cube (m²)

3. Formula Explanation

Derivation: Since a cube has 6 equal faces, the total surface area is 6 times the area of one face. The lateral surface area includes only 4 faces (excluding top and bottom), so LSA = (4/6)TSA = (2/3)TSA.

4. Using the Calculator

Instructions: Enter the total surface area of the cube in square meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between lateral surface area and total surface area?
A: Lateral surface area includes only the side faces, while total surface area includes all six faces of the cube.

Q2: Can this formula be used for other rectangular prisms?
A: No, this specific formula (LSA = 2/3×TSA) applies only to cubes where all faces are equal squares.

Q3: What are the units for lateral surface area?
A: Lateral surface area is measured in square units (m², cm², etc.), the same as total surface area.

Q4: How is this formula derived?
A: Since a cube has 6 equal faces and lateral surface includes 4 faces, LSA = (4/6)TSA = (2/3)TSA.

Q5: What if I have the side length instead of total surface area?
A: If you have side length (a), lateral surface area = 4a² and total surface area = 6a².