Pyramid Calculator

a =
h =
Units:
 
V = 0
s = 0
e = 0
L = 0
B = 0
A = 0

h = height, s = slant height, a = side length

e = lateral edge length, r = a/2, V = volume, L = lateral surface area

B = base surface area, A = total surface area

» Show Work
 

In geometry, The pyramid calculator calculate the various properties of a square pyramid.

For example, a = 2, h = 3

 

  1. To calculate V, use the following formula: (1/3)a2h. When you substitute a and h for their values, you get (1/3)223, which equals 4 m3.
  2. To calculate s, use the following formula: √(h2 + (1/4)a2). When you substitute a and h for their values, you get √(32 + (1/4)22), which equals 3.16228 m.
  3. To calculate e, use the following formula: √(h2 + (1/2)a2). When you substitute a and h for their values, you get √(32 + (1/2)22), which equals 3.31662 m.
  4. To calculate L, use the following formula: a * √(a2 + 4h2). When you substitute a and h for their values, you get 2 * √(22 + 4(32)), which equals 12.64911 m2.
  5. To calculate B, use the following formula: a2. When you substitute a for its value, you get 22, which equals 4 m2.
  6. To calculate A, use the following formula: L + B. When you substitute L and B for their values, you get 12.64911 + 4, which equals 16.64911 m2.