Calculate the volume of a square-based pyramid with an altitude height of 6 ft and base edges of 8 ft. A 64ft3 B 128ft3 C 192ft3 D 384ft3

Respuesta :

Answer:

B.) [tex]128ft^3[/tex]

Step-by-step explanation:

The base of the pyramid is square shaped with given edge and altitude:

So, the pyramid is a Right square pyramid.

Height of the pyramid(h)=[tex]6 feet[/tex]

Edge of the base(a)= [tex]8 feet[/tex]

Volume of a right square pyramid(V)= [tex]a^2*\frac{h}{3}[/tex]

          Putting the given values in the formula:

         Volume=

  volume of pyramid=  [tex]8*8*\frac{6}{3} \\\\64*2\\\\128 ft^3[/tex]

The volume of the square based pyramid is [tex]128ft^3[/tex]