Respuesta :

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)
 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)