The Pyramid Roof Geometries calculator computes the metrics associated with of square based pyramid roof.![](https://www.vcalc.com/attachments/7c6f5c6b-ef42-11ed-8f09-bc764e203090/pyramid-geometries.PNG)
INSTRUCTIONS: Choose units and enter the following:
- (L) Length of Base Sides
- (θ) Pitch Angle
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)