Regular Pyramid Volume and Surface Area Calculator

Use this Regular Pyramid Volume and Surface Area Calculator to quickly compute the volume and surface area of any regular pyramid. Apply the pyramid volume formula and surface area formula accurately for your calculations.

Formula

Volume: V = (1/3) × B × h
Surface Area: S = B + L (lateral area)

The volume formula calculates V from base area and height. Surface area S adds the base area and the lateral area of the pyramid.

Popular Examples

Base Area (B)Height (h)Lateral Area (L)Volume (V)Surface Area (S)
2096060.00000080.000000
1564030.00000055.000000
1053016.66666740.000000
1242816.00000040.000000
25108083.333333105.000000

Manual Calculation

To manually calculate volume and surface area of a regular pyramid:

1. Multiply the base area by the height and divide by 3 for the volume.
2. For surface area, add the base area to the lateral area (sum of triangular sides).

About This Calculator

This Regular Pyramid Volume and Surface Area Calculator is perfect for students, engineers, architects, and designers. It provides instant and accurate calculations using correct pyramid volume and surface area formulas.

Interesting Facts About Pyramids

• Pyramids were built with remarkable precision thousands of years ago.
• The volume formula ensures accurate calculation regardless of base shape.
• Surface area is critical for construction and material estimation.
• Regular pyramids have equal triangular faces and a regular polygon base.
• Lateral area represents the sum of all triangular sides of the pyramid.