Rectangular Prism Calculator
Rectangular Prism Volume and Surface Area Calculator
Calculate the volume and surface area of a rectangular prism with our easy-to-use calculator. Learn about rectangular prism formulas and explore interactive examples.
A rectangular prism is a three-dimensional shape with six rectangular faces. This fundamental geometric shape is widely used in architecture, packaging, and everyday objects, making it one of the most common and practical shapes to work with.
Formula
Volume = length × width × height
Surface Area = 2(length × width + length × height + width × height)
Where:
- l:length of the prism
- w:width of the prism
- h:height of the prism
How to Calculate Rectangular Prism Volume
The volume is calculated by multiplying the length, width, and height of the prism. This gives you the total space enclosed within the shape.
Understanding Surface Area
The surface area consists of six rectangular faces - two each for length×width, length×height, and width×height. The total is the sum of all these areas.
Real-World Applications
Rectangular prisms are found everywhere - from shipping boxes and storage containers to rooms and buildings. Their simple shape makes them ideal for efficient space utilization and easy manufacturing.
Frequently Asked Questions
What is a rectangular prism?
A rectangular prism is a three-dimensional shape with six rectangular faces. Each face meets its adjacent faces at right angles, and opposite faces are parallel and identical.
How is it different from a cube?
While a cube has all edges equal in length, a rectangular prism can have different lengths for its length, width, and height. A cube is actually a special case of a rectangular prism.
What are common examples?
Common examples include boxes, rooms, buildings, shipping containers, books, and many manufactured items. The shape is popular due to its efficient use of space and ease of manufacturing.