Unravel the mysteries of pyramid geometry! Our free Rectangular Pyramid Surface Area Calculator simplifies complex calculations. Quickly find the total surface area by entering the base length, width, and pyramid height. Perfect for students, engineers, and designers.
Formula:
The total surface area (SA) of a rectangular pyramid is calculated by summing the area of its rectangular base and the areas of its four triangular faces. The formula depends on the base length (l), base width (w), and the pyramid's perpendicular height (h).
Formula:
SA = l × w + l × √(h² + (w/2)²) + w × √(h² + (l/2)²)
Where:
- SA = Total Surface Area
- l = Length of the rectangular base
- w = Width of the rectangular base
- h = Perpendicular height of the pyramid (from the center of the base to the apex)
This formula accounts for two pairs of identical triangular faces, each requiring its respective slant height derived from the pyramid's height and half of the corresponding base dimension.