Surface Area and Volume of Cubes and Cuboids
Understanding the concepts of surface area and volume is essential in geometry, especially in Class 9 mathematics. Here, we will explore cubes and cuboids.
1. Cube
- A cube is a three-dimensional shape with six equal square faces.
- Surface Area of a Cube: The total area of all six faces can be calculated using the formula:
- Surface Area = 6 * (side length)²
- Volume of a Cube: The space contained within the cube is determined by the formula:
- Volume = (side length)³
2. Cuboid
- A cuboid is a three-dimensional shape with six rectangular faces, where opposite faces are equal.
- Surface Area of a Cuboid: The total area of all the rectangular faces can be calculated using the formula:
- Surface Area = 2 * (length * breadth + breadth * height + height * length)
- Volume of a Cuboid: The space contained within the cuboid is determined by the formula:
- Volume = length * breadth * height
3. Key Differences
- A cube has all sides equal, while a cuboid has rectangular faces with varying dimensions.
- The surface area and volume formulas differ based on the shape's characteristics.
4. Practical Applications
- Understanding surface area helps in calculating the material needed for construction, packaging, and more.
- Volume is crucial for determining capacity in various fields like shipping, storage, and culinary measurements.
By mastering these concepts, students can apply mathematical principles to real-world scenarios effectively.

Surface Areas and Volumes Class 9 - NCERT Solutions and Formulas