Wedge Surface Area

The Surface Area of a Wedge calculator computes the surface area of a wedge shaped object based on its dimensions.

INSTRUCTIONS: Choose units and enter the following:

• (H) Height 
• (W) Width
• (D) Depth

Wedge Surface Area (A): The calculator returns the area in square centi-meters.  However, this can be automatically converted to compatible units (e.g., square inches or feet) via the pull-down menu.

The Math / Science

A wedge is geometrically a three dimensional triangle with triangular ends.  The formula for the surface area of a wedge is:

`A =  (D * H) + (D*W) + (W*H) + (sqrt(D^2+H^2)*W)`

where

• A = Surface Area 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 90^o 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

Wedge Calculators

• Wedge Volume
• Wedge Surface Area
• Wedge Edges Length