A pyramid has a square base . The base edge is one - half of the height of the pyramid if the base edge is 6 units what is the volume of the pyramid ?

Question

A pyramid has a square base . The base edge is one - half of the height of the pyramid if the base edge is 6 units what is the volume of the pyramid ?

Answer 1

The formula for the volume of a square-based pyramid is:

 

V = a²(h/3), where "V" is equal to volume, "a" is equal to base edge, and "h" is equal to height.

 

You are given the value of the base edge (a = 6)

 

If the base edge is equal to (1/2)h, or (1/2)h = 6 then, 2(1/2)h = 2(6).  This gives you h = 12.

 

Now you just plug into your formula:

 

V = 6²(12/3) = 36(4) = 144