Rectangular Prism Calculator: Free Online Tool for Maths Students

How to Calculate Volume and Surface Area of a Rectangular Prism

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

What is Rectangular Prism Calculator?

A Rectangular Prism Calculator helps you instantly determine the volume and surface area of a cuboid-shaped object based on its length, width, and height. It is especially useful for students, teachers, and anyone dealing with 3D measurements.

By simply entering the dimensions, you receive fast and precise results without manual calculations. This tool eliminates error-prone math and provides clarity, saving valuable time in schoolwork or practical tasks.

Formula Behind Rectangular Prism Calculator

The volume of a rectangular prism is calculated as Volume = length × width × height. Surface area uses the formula Surface Area = 2 × (length × width + width × height + height × length). These formulas work for all right rectangular prisms, including common cuboids.

Rectangular Prism Conversion Table

Length (l)	Width (w)	Height (h)	Volume (V)	Surface Area (SA)
2	3	4	24	52
5	2	1	10	34
10	8	6	480	376
1	1	1	1	6

Steps to Use Rectangular Prism Calculator

Enter the correct value for length, width, and height in the input boxes.
Click "Calculate".
Instantly see accurate results for volume and surface area below.

Why Use Vedantu’s Rectangular Prism Calculator?

Vedantu’s prism calculator is designed for speed and reliability on any device, including mobile. With just a few taps, you eliminate tedious math and reduce chances of mistakes, gaining confidence in your geometry solutions.

Students, parents, and professionals appreciate how the tool explains answers step-by-step. Its easy interface makes it ideal for quick homework help, packing, construction, or science projects. You can further explore concepts at Vedantu's volume of cuboid page and learn more about 3D shapes.

Applications of Rectangular Prism Calculator

This calculator is commonly used for finding space in shipping boxes, aquarium tanks, classroom projects, and interior layouts. Builders estimate material needs and students visualize real-world 3D geometry using this tool.

In addition, the calculator helps with quick conversions and checks while learning about 3D geometry or surface area formulas. For more advanced uses, discover the surface area of rectangular prism resource or try related tools like the HCF calculator offered by Vedantu.

FAQs on Rectangular Prism Calculator: Free Online Tool for Maths Students

1. What is a rectangular prism, and what are its key features?

A rectangular prism, also known as a cuboid, is a three-dimensional solid shape with six rectangular faces, twelve edges, and eight vertices. All its angles are right angles, making each face a rectangle. Key features include its parallel and congruent opposite faces and its straight edges meeting at right angles.

2. How do I calculate the volume of a rectangular prism?

The volume of a rectangular prism is calculated by multiplying its length, width, and height. The formula is: Volume (V) = length (l) × width (w) × height (h). For example, a prism with a length of 5 units, width of 3 units, and height of 2 units has a volume of 30 cubic units (5 × 3 × 2 = 30).

3. What is the formula for the surface area of a rectangular prism?

The surface area of a rectangular prism is the sum of the areas of all its six rectangular faces. The formula is: Surface Area (SA) = 2(lw + wh + hl), where 'l' is length, 'w' is width, and 'h' is height. This formula calculates the total area of the prism's exterior surfaces.

4. How can I use the Vedantu rectangular prism calculator?

Vedantu's rectangular prism calculator simplifies the process. Simply input the length, width, and height of the prism into the designated fields. Click 'Calculate', and the calculator will instantly display the volume and surface area of the rectangular prism.

5. What are some real-world applications of rectangular prisms?

Rectangular prisms are ubiquitous in our daily lives. They are found in various objects such as shipping boxes, building bricks, books, aquariums, storage containers, and many types of furniture. Understanding their properties is useful in various fields.

6. What are the units used for volume and surface area calculations?

Volume is measured in cubic units (e.g., cubic centimeters, cubic meters, cubic feet), representing the three-dimensional space enclosed. Surface area is measured in square units (e.g., square centimeters, square meters, square feet), representing the two-dimensional area of the surfaces.

7. How many faces, edges, and vertices does a rectangular prism have?

A rectangular prism has six faces (all rectangles), twelve edges, and eight vertices (corners). These features are consistent regardless of the prism's dimensions.

8. Is a cube a type of rectangular prism?

Yes, a cube is a special type of rectangular prism where all six faces are squares (meaning all sides are equal in length). It's a specific case of the more general rectangular prism.

9. What if I enter negative numbers into the rectangular prism calculator?

The calculator is designed to handle only positive values for length, width, and height, as negative dimensions are not physically meaningful. It will likely return an error or an unexpected result if negative numbers are input.

10. Can I use this calculator for prisms that aren't rectangular?

No, this calculator is specifically designed for rectangular prisms (cuboids). For other types of prisms (like triangular prisms), you would need a different formula and potentially a different calculator.

11. What happens if I enter zero for any of the dimensions?

If you enter zero for any dimension (length, width, or height), the calculated volume will be zero, as a prism with zero dimension has no volume. The surface area calculation will still be valid but will represent only the area of the remaining two dimensional shapes.