Calculate the area, perimeter of Pyramid (Pyramid Calculator)  


 


 
 

Square
Area of the base (A) [s²]
Surface Area of Pyramid = [s² + 2sl]
Volume of Pyramid = [(1/3)b²h ]
Where,
s= side length
sl= slant height
b= base
h= height
Pentagonal
Area of Base : [(5/2)as]
Surface Area of Pyramid : [ (5/2)as + (5/2)sl ]
Volume of Pyramid : [ (5/6)abh]
Where,
As = area of side length
sl= slant height
abh area of base * height
Hexagonal
Area of Base: [(6/2) as]
Surface Area of Pyramid: [3as + 3sl]
Volume of Pyramid: [abh ]
Where,
As = area of side length
sl= slant height
abh area of base * height
Examples: surface area and volume of a triangular pyramid calculator
Find the area, surface area and volume of a triangular pyramid with the given apothem length 2, side 3, height 4 and the slant height 5.
Step 1: Find the area of the base.
Area of the base (A) = ½ * a * s = 0.5 * 2 * 3 = 3.
Step 2: Find the surface area of pyramid.
Surface Area of Pyramid = A + ((3/2) sl) = 3 + ((3/2) * 3 * 5) = 3 + (1.5 * 15) = 3 + 22.5 = 25.5.
Step 3: Find the volume of pyramid.
Volume of Pyramid = (1/6) abh = (1/6) * 2 * 3 * 4 = 0.17 * 24 = 4.08.
Find the area, surface area and volume of a right square (right rectangular) pyramid with the given side length3, height 4 and the slant height 5.
Step 1: Find the area of the base. (right rectangular pyramid calc: find a)
Area of the base (A) [s²] = 32 = 9
Step 2: Find the surface area of pyramid.
Surface Area of Pyramid = [s² + 2sl] = 32 +2*5= 9+10 = 9 +2*5*3 =9+30 = 39
Step 3: Find the volume of pyramid. (right rectangular pyramid calc: find v)
Volume of Pyramid = [(1/3)b²h ] = [(1/3)*92 *4] = (1/3)*9*4 = 36/3 = 12
Find the area, surface area and volume of a Pentagonal pyramid with the given side apothem length 2, side 3, Slant height 4 and height 5.
Step 1: Find the area of the base.
Area of Base : [(5/2)as] = [ (5/2)2*3]= 5/2*6= 2.5*6= 15
Find the surface area of pyramid.
Surface Area of Pyramid : [ (5/2)as + (5/2)sl ]= 15+(2.5*3*4) = 15+ (2.5*12) =15+30 = 45
Find the volume of pyramid.
Volume of Pyramid : [ (5/6)abh] = (5/6) 2*3*5= (5/6) * 30 = 0.833 *30 = 25 \
Find the area, surface area and volume of a Hexagonal pyramid with the given side apothem length 2, side 3, Slant height 4 and height 5.
Step 1: Find the area of the base. Area of Base: [(6/2) as] = [(6/2) 2*3= (6/2) *6 = 3*6 = 18
Find the surface area of pyramid.
Surface Area of Pyramid: [3as + 3sl] = [(3*2*3) + (3*3*4)] = 18+36 = 54
Find the volume of pyramid.
Volume of Pyramid: [abh ] = 2*3*5 = 30