Volume of Cuboid

What is a Cuboid?

A cuboid is a 3-Dimensional shape which is bounded by the six rectangular faces.

What is the Volume of Cuboid?

Formula for volume of a cuboid is given by:

Volume = Length × Width × Height

What are Units for Volume of Cuboid?

As volume is product of three lengths, unit of volume is cubic units, such as cm³, m³, Km³, etc.

Can Volume of Cuboid be Negative?

As volume of cuboid represent the space occupied by the cuboid in the three dimensional space, it can’t be negative. It can only be positive or zero.

How to Find the Length of Cuboid? 

Volume of a cuboid is equal to length × width × height. 

Given volume, width, and height, 

We can write 

v = l×b×h

⇒ l = v/bh

What is Surface Area of Cuboid?

Surface Area of a Cuboid can be found using the following formula:

Surface Area = 2lw + 2lh + 2wh

What is volume of a cuboid with example?

Volume of a cuboid is the measure of space it occupies in three dimensions. It can be calculated using the formula: Volume = length × breadth × height.

For example, if a cuboid has a length of 5 units, a breadth of 3 units, and a height of 2 units, its volume would be 5 × 3 × 2 = 30 cubic units.

What is breadth of a cuboid?

Breadth of a cuboid is one of its dimensions, representing the measure of its side that is perpendicular to its length and height.

What is SI unit for volume?

SI (International System of Units) unit for volume is the cubic meter (m³). This unit is used to measure the amount of three-dimensional space that an object occupies. However, for smaller objects, cubic centimeters (cm³) or cubic millimeters (mm³) are also commonly used.

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.