The Rectangular Prism Calculator is a versatile tool designed to compute the volume, surface area, and other dimensions of a rectangular prism. Simply input the prism’s length, width, and height to get instant results. Ideal for students, engineers, and anyone working with geometric shapes, this calculator simplifies complex calculations with ease and precision.
Rectangular Prism Calculator
Enter the dimensions of the rectangular prism to calculate its volume and surface area.
For example, if length=10, width=5, and height=8: $$ \text{Volume} = 10 \times 5 \times 8,\quad \text{Surface Area} = 2(10\times5 + 10\times8 + 5\times8). $$
Step 1: Enter Dimensions
Enter the length of the prism
Enter the width of the prism
Enter the height of the prism
Rectangular Prism: A Complete GuideWhat is a Rectangular Prism?
A rectangular prism is a three-dimensional geometric shape with six rectangular faces. Each pair of opposite faces is identical, and all its internal angles are right angles. It is also commonly referred to as a cuboid.
Properties of a Rectangular Prism
- It has 6 faces, 12 edges, and 8 vertices.
- Opposite faces are equal and parallel.
- All internal angles are 90 degrees.
How to Calculate the Volume
The volume of a rectangular prism represents the amount of space it occupies. It is calculated using the formula:
Volume = Length × Width × HeightFor example, if the length is 5 units, the width is 3 units, and the height is 4 units, the volume is:
Volume = 5 × 3 × 4 = 60 cubic unitsHow to Calculate the Surface Area
The surface area is the total area of all six faces of the prism. The formula is:
Surface Area = 2 × (Length × Width + Length × Height + Width × Height)For example, if the dimensions are the same as above:
Surface Area = 2 × (5 × 3 + 5 × 4 + 3 × 4) = 94 square unitsCommon Uses of Rectangular Prisms
- Storage Solutions: Used in the design of boxes, containers, and cabinets.
- Construction: Bricks and beams often take the shape of rectangular prisms.
- Mathematics and Education: Helps in learning geometry concepts.
- 3D Modeling: Frequently used in computer-aided design (CAD) applications.
Explore with Our Rectangular Prism Calculator
Use our Rectangular Prism Calculator to instantly compute the volume, surface area, and other properties with ease.
What is a Rectangular Prism?
A rectangular prism is a three-dimensional geometric shape with six rectangular faces. Each pair of opposite faces is identical, and all its internal angles are right angles. It is also commonly referred to as a cuboid.
Properties of a Rectangular Prism
- It has 6 faces, 12 edges, and 8 vertices.
- Opposite faces are equal and parallel.
- All internal angles are 90 degrees.
How to Calculate the Volume
The volume of a rectangular prism represents the amount of space it occupies. It is calculated using the formula:
For example, if the length is 5 units, the width is 3 units, and the height is 4 units, the volume is:
How to Calculate the Surface Area
The surface area is the total area of all six faces of the prism. The formula is:
For example, if the dimensions are the same as above:
Common Uses of Rectangular Prisms
- Storage Solutions: Used in the design of boxes, containers, and cabinets.
- Construction: Bricks and beams often take the shape of rectangular prisms.
- Mathematics and Education: Helps in learning geometry concepts.
- 3D Modeling: Frequently used in computer-aided design (CAD) applications.
Explore with Our Rectangular Prism Calculator
Use our Rectangular Prism Calculator to instantly compute the volume, surface area, and other properties with ease.