Pre Algebra (Period 2 & 4)

Volume of Prisms & Cylinders 10-7



Remember when I said that the basic formula for area is A = bh

Well, the basic formula for volume of a prism or cylinder is:

V = BH

Where capital B = the area of the base of the prism/cylinder

capital H = the height of the prism/cylinder

THE LABEL IS ALWAYS CUBED!!!


Volume of a rectangular, square, or parallelogram prism:

V = BH

Volume = area of the base times the height of the prism

V = (bh)(H)

The lower case b and h are the base and height of the base (this is plane geometry!)


Volume of a triangular prism:

V = BH

Volume = area of the base times the height of the prism

V = (1/2 bh)(H)

The lower case b and h are the base and height of the base (this is plane geometry!)


Volume of a trapezoidal prism:

V = BH

Volume = area of the base times the height of the prism

V = [(average of the 2 bases)(h)](H)

The lower case b and h are the base and height of the base (this is plane geometry!)



Volume of a cylinder:

V = BH

Volume = area of the base times the height of the prism

V = (π r²)(H)

The lower case b and h are the base and height of the base (this is plane geometry!)

Volume of Pyramids, Cones & Spheres 10-9

To find the volume of a pyramid or cone is just as easy!!!

It's just V= 1/3 BH

That means just find the volume as if it was a prism or cone then just divide it by 3!!!


VOLUME OF A SPHERE (ball) (this one is different)
V = 4/3 π r³