# Surface Area of Wedge Calculator

A wedge can be referred as two identical triangles and three rectangles holding the same height but different lengths. It is a polyhedron solid with the five faces, nine edges, and six vertices. Use our online Surface area of wedge calculator to do rectangular wedge surface area and lateral area of the wedge based on the base side, base width, top side and height. You can also use this online tool for doing the Lateral area of a wedge calculation in simple.

## Lateral Area of a Wedge Calculation

A wedge can be referred as two identical triangles and three rectangles holding the same height but different lengths. It is a polyhedron solid with the five faces, nine edges, and six vertices. Use our online Surface area of wedge calculator to do rectangular wedge surface area and lateral area of the wedge based on the base side, base width, top side and height. You can also use this online tool for doing the Lateral area of a wedge calculation in simple.

Code to add this calci to your website

#### Formula:

F = (((a + c) / 2)√(4h^{2} + b^{2})) + (b √(h^{2} + (a - c)^{2}))
SA = F + ab
**Where,**
a = Base Side
b = Base Width
c = Top Side
h = Height
F = Lateral Area
SA = Surface Area
### Example:

Calculate the lateral area and surface area of wedge with the base side of 20 cm, base width of 15 cm, top side of 10 cm and height of 12 cm.

#### Solution:

F = (((a + c) / 2)√(4h^{2} + b^{2})) + (b √(h^{2} + (a - c)^{2}))

= (((20 + 10) / 2) √(4 x 12^{2} + 15^{2})) + (15 √ (12^{2} + (20 - 10)^{2}))

= 658.8366 cm^{2}

SA = F + ab

= 658.8366 + (20 x 15)

= 958.8366 cm^{2}