Loading the page...
Preparing tools and content for you. This usually takes a second.
Preparing tools and content for you. This usually takes a second.
Fetching calculator categories and tools for this section.
Free pyramid calculator & volume calculator. Calculate pyramid volume, surface area, and lateral area with step-by-step solutions. Our calculator handles pyramid geometry with comprehensive analysis.
Last updated: February 2, 2026
Need a custom geometry calculator for your educational platform? Get a Quote
Length of the base of the pyramid
Width of the base (leave empty for square pyramid)
Height of the pyramid from base to apex
This is a square pyramid with equal base dimensions.
Square pyramids have equal length and width, creating four identical triangular faces. They are commonly found in architecture and geometry problems.
Formula
V = (1/3) × Base × Height
Uses base area and height to calculate volume
Formula
SA = Base + Lateral Area
Includes base area plus triangular face areas
Type
Square Base
Four identical triangular faces
Type
Rectangular Base
Two pairs of identical triangular faces
Process
Step-by-Step
Provides detailed step-by-step process for calculations
Analysis
Complete Analysis
Applies surface area formulas with comprehensive geometric analysis
For square pyramid (10×10×15):
Volume
500.00 cubic units
Surface Area
400.00 square units
Lateral Area
300.00 square units
Our pyramid calculator uses fundamental geometric formulas adapted for pyramid analysis. The calculation applies volume, surface area, and lateral area formulas to ensure accurate pyramid geometry analysis with comprehensive mathematical explanations.
1. Identify base dimensions and height2. Calculate base area3. Apply volume formula4. Calculate slant height5. Determine surface areasThis process ensures accurate pyramid analysis by systematically applying geometric formulas and providing comprehensive mathematical explanations.
Shows base, height, slant height, and triangular faces
Pyramid calculations are based on solid geometry principles. The volume formula V = (1/3) × Base Area × Height comes from the relationship between pyramids and their corresponding prisms. Surface area calculations involve the base area plus the lateral area of triangular faces, requiring slant height calculations.
Need help with other geometry calculations? Check out our sphere calculator and area of parallelogram calculator.
Get Custom Calculator for Your PlatformResult: Volume = 500 cubic units, Surface Area = 416.23 square units
This square pyramid has a volume of 500 cubic units and requires 416.23 square units of material to construct.
8×12×20: Volume = 640 cubic units
Surface Area = 512 square units
5×5×8: Volume = 66.67 cubic units
Surface Area = 89.44 square units
Share it with others who need help with pyramid calculations
Suggested hashtags: #Geometry #Pyramid #Volume #Education #Calculator