Rectangular Prism Volume Calculator
Calculate box volume, surface area, and diagonal
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Rectangular Prism Volume Formula
V = l × w × h
A rectangular prism has six rectangular faces. Its volume is found by multiplying the three perpendicular dimensions: length, width, and height.
⚠ Length, width, and height must be positive and use the same unit. The result is measured in cubic units.
How Rectangular Prism Volume Works
The shape can be viewed as layers of rectangles stacked through the height. Multiplying base area by height gives the total space inside.
Length
One horizontal dimension of the prism.
Width
The second horizontal dimension.
Height
The vertical stacking dimension.
Space Diagonal
The 3D corner-to-corner distance.
💡 Example: For l=8, w=5, and h=3, V=8×5×3=120 cubic units.
Applications of Rectangular Prism Volume
Box Volume
Room Capacity
Shipping
Storage Planning
Frequently Asked Questions
What is a rectangular prism volume calculator?▼
It calculates the volume of a box-shaped solid from length, width, and height.
What is the rectangular prism volume formula?▼
The formula is V = lwh, where l is length, w is width, and h is height.
How do I use this calculator?▼
Enter length, width, and height, then click Calculate to get volume, surface area, and diagonal.
What units does the result use?▼
Volume is in cubic units, surface area is in square units, and diagonal is in the original length unit.
Where is rectangular prism volume used?▼
It is used for boxes, rooms, shipping, storage, packaging, and construction estimates.
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