## General Question # What is the formula for the volume of a square pyramid?

Asked by pcmonkey (427 ) March 9th, 2011

It’s V=⅓Bh but what does B=? pi X r2? I was thinking that but I thought that the pi x r2 thing was for a circle also so im not sure. Please help.

Observing members: 0 Composing members: 0  It’s V=⅓b(sq)h or Volume equals one third (base squared) times height

I think you are confusing some of a cone volume formula

optimisticpessimist (3909 )“Great Answer” (4 ) Flag as…  I think you may be under the misconception that B always equals pi x r(sq). B is equal to the base, not a specific formula.

2CDenzy (442 )“Great Answer” (2 ) Flag as…  ⅓ (area of base)x(height)

Allie (17436 )“Great Answer” (2 ) Flag as…  pi*r^2 is the formula for area of a circle. B means area of the base in general for any formula. Since your base is a square in this case, B = s^2 where s is the length of one side of the square. @optimisticpessimist provided the correct formula.

Mariah (25831 )“Great Answer” (2 ) Flag as…  V = ⅓*B*H is the volume of any pyramid, given a base with area B and the pyramid’s height H. The volume of any pyramid is ⅓ that of a prism with the same base and height.

For a rectangular pyramid, Base = Length*Width. For a square pyramid, this reduces to Base = Side^2. The volume of a square pyramid is Volume = ⅓*Side^2*Height.

2*Pi*R is the formula for the circumference of a circle, and Pi*R^2 is the formula for the area of a circle. The second formula, the area of a circle, is used to find the base of a cone. The equation for the volume of a cone, or a circular pyramid, is V = ⅓*Pi*R^2*H

PhiNotPi (12670 )“Great Answer” (3 ) Flag as…  Ah yeah, the base isn’t squared, so @Allie‘s formula is correct.

Mariah (25831 )“Great Answer” (0 ) Flag as…  Part of the confusion is that there is no name for the shapes that would include cones and pyramids and which all have the same volume formula of ⅓ Bh, where B is the area of the base. By contrast, the name prism includes both cylinders and rectangular solids.

LostInParadise (25507 )“Great Answer” (0 ) Flag as… or