Volume of Cuboid Calculator

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How to Calculate the Volume of a Cuboid – Formula, Steps & Examples

Volume of Cuboid Calculator – Free Online Tool with Formula, Steps & Examples

Volume of Cuboid Calculator

Length (l): Width (w): Height (h): Unit:

What is Volume of Cuboid?

The volume of a cuboid refers to the amount of three-dimensional space occupied by a cuboid shape. A cuboid is a rectangular 3D box with six faces (all rectangles), 12 edges, and 8 vertices – like a brick, a fish tank, or a typical shipping box. In maths, calculating the volume of a cuboid helps measure its internal capacity, typically in cubic units such as cm³, m³, in³, or ft³. The concept is widely used in geometry, physics, construction, and daily life.

Formula or Logic Behind Volume of Cuboid Calculation

The formula for calculating the volume of a cuboid is straightforward:
Volume = Length × Width × Height
or symbolically, V = l × w × h
Here, 'l' is the length, 'w' is the width (or breadth), and 'h' is the height of the cuboid. The product of these three gives the total space inside the box. The result will always be in cubic units matching your input (e.g., cm³ if you use cm). To convert the result to litres, use: 1,000 cm³ = 1 litre, or reference the conversion below.

Sample Volumes of Common Cuboid Sizes (in cm, and litres)

Length (cm)	Width (cm)	Height (cm)	Volume (cm³)	Volume (litres)
10	8	4	320	0.32
12	10	5	600	0.600
15	6	7	630	0.630
20	7	5	700	0.700
25	12	8	2400	2.400

Steps to Use the Volume of Cuboid Calculator

Enter the length, width, and height of your cuboid in the appropriate fields.
Select the measurement unit (cm, m, inches, or feet).
Click on the 'Calculate' button.
View the volume instantly, both in cubic units and litres.

Why Use Vedantu’s Volume of Cuboid Calculator?

Vedantu’s Volume of Cuboid Calculator is designed for effortless, accurate, and quick volume computations. It’s mobile-friendly and easy to use, showing instant step-by-step logic and unit conversion. This tool helps students, teachers, parents, and professionals – especially in academics, construction, packing, or daily measurements. Vedantu ensures accuracy and is trusted by millions for learning support.

Real-life Applications of Volume of Cuboid Calculation

The volume of cuboid is useful for:

Finding the capacity of boxes, tanks, aquariums, and storage containers
Calculating the space inside cabinets, bricks, or swimming pools
Packing and shipping industries for optimizing loads
Construction projects (measuring room space, brickwork, concrete fill, etc.)
Solving Maths problems in school, Olympiads, and entrance exams

Its usage is broad – from classrooms and science labs to engineering and logistics.

For more geometry and volume tools, check out these resources at Vedantu: Volume of a Cube, Surface Area of Cuboid, Difference Between Cube and Cuboid, Prime Numbers, and Area of Rectangle.

FAQs on Volume of Cuboid Calculator

1. What is the formula for calculating the volume of a cuboid?

The volume of a cuboid is calculated by multiplying its length, width, and height. The formula is: Volume = Length × Width × Height or V = l × w × h, where 'l' represents length, 'w' represents width, and 'h' represents height.

2. How do I calculate the volume of a cuboid in cubic meters (m³)?

First, ensure all your measurements (length, width, and height) are in meters. Then, apply the formula: Volume = Length (m) × Width (m) × Height (m). The result will be the volume in cubic meters (m³).

3. What is the volume of a cuboid with length 5cm, width 3cm, and height 2cm?

Using the formula V = l × w × h, the volume is 5 cm × 3 cm × 2 cm = 30 cubic centimeters (cm³).

4. How is the volume of a cuboid different from its surface area?

Volume measures the space *inside* a three-dimensional object, while surface area measures the total area of the *outer surfaces* of the object. Volume is measured in cubic units (cm³, m³), while surface area is measured in square units (cm², m²).

5. Can I use this calculator to find the volume of a rectangular prism?

Yes! A rectangular prism and a cuboid are the same thing. This calculator will work perfectly for finding the volume of a rectangular prism.

6. What are some real-world applications of calculating cuboid volume?

Calculating cuboid volume is useful in many situations, including:

Determining the amount of water a tank can hold
Calculating the space needed for storing goods in a warehouse
Estimating the amount of concrete needed for a foundation
Finding the volume of a room for ventilation purposes

7. What if I have the volume of a cuboid and two of its dimensions? How do I find the third dimension?

If you know the volume (V) and two dimensions (let's say length 'l' and width 'w'), you can find the height ('h') using the formula: Height (h) = Volume (V) / (Length (l) × Width (w))

8. How do I convert the volume of a cuboid from cubic centimeters (cm³) to liters (l)?

1 liter is equal to 1000 cubic centimeters. To convert from cm³ to liters, divide the volume in cm³ by 1000. For example, 5000 cm³ is equal to 5 liters.

9. Is there a difference between a cube and a cuboid?

Yes, a cube is a special type of cuboid where all six faces are squares (meaning all sides are equal in length). A cuboid can have rectangular faces with different lengths, widths, and heights.

10. What are the units I can use with this cuboid volume calculator?

You can generally use any unit of length (e.g., centimeters, meters, inches, feet) for the input dimensions. The calculator will then output the volume in the corresponding cubic units (e.g., cubic centimeters, cubic meters, cubic inches).

11. What happens if I enter negative values into the calculator?

Length, width, and height cannot be negative values in real-world scenarios. The calculator will likely either display an error message or return an unexpected result if you enter negative numbers. Make sure your inputs are all positive values.