Question

Find the volume for the regular pyramid.



V =

Answer 1

The answer of this is V = 48 * root (3).
Formula:
V = L * Apb * h Where, L= side of the base Apb=apothema of the base h= heightSubstitute the values: V = (4) * ((root (3) / 2) * 4) * (6) V = (4) * ((root (3) / 2) * 4) * (6) V = 96 * (root (3) / 2) V = 48 * root (3)

Answer 2

The volume is given by:
V = L * Apb * h
Where,
L: side of the base
Apb: apothema of the base
h: height
Substituting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
Rewriting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
V = 96 * (root (3) / 2)
V = 48 * root (3)
Answer:
V = 48 * root (3)