Calculate the volume of a rectangular prism quickly and accurately with our Volume Calculator at examples.com. Get instant, precise measurements.

Formula: Rectangular Prism Volume (V) = l × w × h

Length(l):

Width(w):

Height(h):

Volume in Meter1 Meter3
Volume in Meter1 Meter3
Volume in Meter1 Meter3

To use the Rectangular Prism Volume Calculator are as follows;

Step 1: Input the Length

  • Locate the field labeled “Length(l):”.
  • Enter the value of the length of the rectangular prism.

Step 2: Input the Width

  • Find the field labeled “Width(w):”.
  • Type in the width of the rectangular prism.

Step 3: Input the Height

  • See the field labeled “Height(h):”.
  • Input the height of the rectangular prism.

Step 4: Select Units

  • For length, width, and height, ensure the unit selection matches your measurements, typically meters or centimeters.

Step 5: Calculate the Volume

  • Click on the “Calculate” button to compute the volume of the rectangular prism.
  • The calculator will use the formula 𝑉=𝑙×𝑤×ℎ to determine the volume and display the result underneath the button.

Let’s say you have a rectangular prism where the length measures 6 meters, the width measures 4 meters, and the height measures 3 meters.

  1. The calculator will use the formula for the volume of a rectangular prism: 𝑉=𝑙×𝑤×ℎ, where 𝑙 is the length, 𝑤 is the width, and ℎ is the height.
  2. With the provided dimensions (length = 6 meters, width = 4 meters, height = 3 meters), the computation would be: 6×4×3=72 cubic meters.

Rectangular Prism Volume Calculator Formula

The formula for calculating the volume of a rectangular prism is:

𝑉=𝑙×𝑤×ℎ

where:

  • 𝑉 is the volume of the rectangular prism,
  • 𝑙 is the length,
  • 𝑤 is the width,
  • ℎ is the height.

This formula calculates the volume by multiplying the length, width, and height of the prism.

How many faces, edges and vertices are there in a rectangular prism

A rectangular prism, a common three-dimensional shape in geometry, has the following characteristics in terms of its faces, edges, and vertices:

  1. Faces:
    • A rectangular prism has six faces.
    • Each face is a rectangle.
    • Opposite faces are congruent (identical in shape and size).
  2. Edges:
    • A rectangular prism has twelve edges.
    • Edges are the line segments where two faces meet.
    • Each of the four vertical edges is parallel and equal in length to its opposite edge. Similarly, the horizontal edges are paired in the same way.
  3. Vertices:
    • A rectangular prism has eight vertices.
    • A vertex is a point where three edges meet.
    • Vertices are the corners of the prism.

This description applies to any right rectangular prism, including cubes, which are a special case where all six faces are squares.

Examples of Rectangular Prism Volume Calculator

Example 1: Rectangular Prism with Length 4 meters, Width 3 meters, and Height 2 meters

  • Formula: 𝑉=4×3×2
  • Volume: 24 cubic meters

Example 2: Rectangular Prism with Length 5 meters, Width 5 meters, and Height 5 meters

  • Formula: 𝑉=5×5×5
  • Volume: 125 cubic meters

Example 3: Rectangular Prism with Length 6 meters, Width 2 meters, and Height 3 meters

  • Formula: 𝑉=6×2×3
  • Volume: 36 cubic meters

Example 4: Rectangular Prism with Length 10 meters, Width 4 meters, and Height 2 meters

  • Formula: 𝑉=10×4×2
  • Volume: 80 cubic meters

Example 5: Rectangular Prism with Length 8 meters, Width 3 meters, and Height 1.5 meters

  • Formula: 𝑉=8×3×1.5
  • Volume: 36 cubic meters

How many edges does a rectangular prism have?

A rectangular prism has 12 edges. These edges form the skeleton of the prism, connecting at vertices to define the shape’s boundary in three dimensions.

How do I calculate the volume of a rectangular prism with only its length?

Calculating the volume of a rectangular prism requires knowing its length, width, and height. With only the length, additional information about dimensions is necessary to determine the volume.

What is the volume of a box with all sides equal?

The volume of a box with all sides equal (a cube) is calculated as 𝑉=𝑠3V=s3, where 𝑠s is the length of one side.

How do I find the perimeter of a rectangular prism?

To find the perimeter of a rectangular prism, you need to calculate the perimeter of each of its three pairs of opposite faces and add them up. This involves multiple dimensions, not just one continuous line.

Is there a maximum size limit for the prism dimensions I can input?

While there’s generally no hard limit, extremely large or small numbers may cause computational errors or be unrealistic for practical use.

Can I calculate the weight of the prism using this calculator?

Directly, no. However, you can multiply the volume result by the density of the material to estimate the weight of the prism.

Are there mobile apps available that include a Rectangular Prism Volume Calculator?

Yes, many mobile applications designed for educational or construction purposes include a Rectangular Prism Volume Calculator among other useful tools.

What if I only know the length of the prism?

If only the length is known, additional information about the width and height is necessary to calculate the volume. Without all three dimensions, the volume cannot be determined.