Volume of Cuboid Formula
A cuboid is a three-dimensional structure with six rectangular faces. The volume of cuboid formula is based on the dimensions of these faces: length, width, and height.
Volume of a Cuboid Formula:
Volume of Cuboid = Length × Breadth × Height (cubic units)
Volume of Cuboid Derivation
Let’s assume the length, breadth and height of the cuboid to be ‘l’ , ‘b’, and ‘h’ units respectively.
Now, we divide the cuboid into smaller cubes along its length, width, and height.
There will be ‘l’ unit cubes along the length, ‘b’ unit cubes, ‘h’ unit cubes along the height.
Total number of unit cubes = l × b × h
Volume of each of these unit cubes = 1 cubic unit.
Total volume of the cuboid (V) = Total number of unit cubes = l × b × h
Therefore, the formula for the volume of a cuboid is:
V = l × b × h = lbh
Volume of Cuboid | Formula and Examples
Volume of a cuboid is calculated using the formula V = L × B × H, where V represents the volume in cubic units, L stands for length, B for breadth, and H for height. Here, the breadth and width of a cuboid are the same things. The volume signifies the amount of space occupied by the cuboid in three dimensions. To measure it, multiply the length by the breadth and then by the height of the cuboid. Each dimension contributes to the overall capacity of the cuboid, with the product yielding the total volume encompassed by its shape.
Volume of a Cuboid = length × breadth × height
A cuboid is a convex polyhedron surrounded by 6 rectangular faces with 8 vertices and 12 edges. Volume of the Cuboid is the space occupied by the cuboid in the 3D space.
Let’s learn the formula for the Volume of Cuboid and how to use it with the help of solved examples.
Table of Content
- What is Volume of Cuboid?
- Volume of Cuboid Formula
- How to Find Volume of Cuboid?
- Volume of Cube and Cuboid
- Surfac Area of Cuboid
- Volume of a Cuboid Prism