How do I find the height of a square pyramid that has a volume of 873.18m^3 and a length of 12.6m

Question

Find the height of a square pyramid that has a volume of 873.18m^3 and a length of 12.6m.

Answer 1

V=(1/3)(s^2)(h) where s=side length and h=height

873.18=(1/3)(12.6^2)(h)

873.18=(1/3)(158.76)(h)

873.18=(52.92)(h)

h=873.18/52.92

h=16.5 m

Answer 2

The Volume of a pyramid = 1/3 Area of the base x height

 

in this case, the area of the base = 12.6m x 12.6m = 158.7m²

 

The Volume of the pyramid = 873.18m³

 

so, our equation becomes 873.18m³ = 1/3 • 158.7m² • h

 

rearranging, we get h = (3 • 873.18m³) ÷ 158.7m²

 

h = ≅ 16.5m