The Volume of a Wedge calculator computes the volume of a wedge shaped object based on its dimensions.
INSTRUCTIONS: Choose units and enter the following:
- (H) Height
- (W) Width
- (D) Depth
Wedge Volume (V): The calculator returns the volume in cubic centimeters. However, this can be automatically converted to compatible units (e.g., cubic inches or liters) via the pull-down menu.
The Math / Science
A wedge is geometrically a three dimensional triangle with triangular ends. The formula for the volume of a wedge is:
V = 1/2 ⋅ W ⋅ D ⋅ H
where
- V = Volume of the Wedge
- W = Width
- D = Depth
- H = Height
A wedge is a three-dimensional geometric shape that has a right - triangular cross-section with a 90o corner and typically tapers from a thick end to a thin edge. It can be thought of as a prism with a triangular base, where one face is slanted, forming an inclined plane. It has five sides.
Properties of a Wedge Shape:
- Base: Typically a rectangle or a parallelogram.
- Sides: At least one slanted face, usually a triangle.
- Edges: The meeting points of the faces create sharp edges, often leading to a thin end.
- Angles: The wedge often has an acute angle at one end and a broader face at the other.
Examples of Wedges in Real Life:
- Tools: Axe heads, chisels, doorstops.
- Natural Forms: Some rock formations and ice wedges.
- Engineering: Airplane wings and hydrofoils have wedge-like cross-sections for aerodynamics