Pyramid Roof Geometries

The Pyramid Roof Geometries calculator computes the metrics associated with of square based pyramid roof.

INSTRUCTIONS: Choose units and enter the following:

• (L) Length of Base Sides
• (θ) Pitch Angle 
  • Compute Pitch Angle from Pitch Ratios (e.g., 4/12) CLICK HERE.

Pyramid Specifications (PS): The calculator returns:

• (V) Volume in cubic feet. 
• (TSA) Total Surface Area in square feet. 
• (FA) Surface Area of one Face
• (BA) Base Area in square feet
• (BD) Base Diagonal in feet
• (α) Angle of Face corners
• (i) Face Length in feet
• (j) Hip Ridge Length in feet
• (HRL) Total Hip Ridge Length in feet
• (ALL) Returns all the above

Note: answers can be automatically converted to compatible units via the pull-down menu.

The Math / Science

Based on the input parameters and the assumption of a square base, this calculator makes the following calculations:

• y = L/2
• h = tan(Θ) * y
• z = sqrt(2*y²)
• j = sqrt(z² + h²)
• i = sqrt(y² + h²)
• α = asin(i/j)
• FA = y*i
• TSA = FA*4
• HRL = j*4
• BA = L*L
• BD = sqrt(L²+ L²)