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What is PRISM?

Two identical bases

Cubed (to the third power)

What units do we use with volume?

V = Bh

Volume of ANY prism

Capital B

Area of the base. Use the area formula of your shape!

Height

The shortest distance between the base of a geometric figure and its top.

volume of cylinder

area of circular base x height

Cavalieri's Principle

Same Base - Same Height - Volumes are the Same.

1/3 Bh

Volume of Pyramid

Slant Height

The height of each lateral face.

Apex

The Highest Point

V=1/3πr²h

Volume of Cone

Volume of sphere

V = 4/3πr^3

Volume of Hemisphere

(2/3) * πr³

cube

A solid shape that has: 6 square faces all equal in size, 8 vertices (corners), and 12 equal edges.

rectangular prism

a b c

b h

irregular prism

cylinder

A solid shape with one curved surface and two congruent circular bases.

pyramid

A solid shape with a polygon as a base and triangular faces that come to a point (vertex or apex)

cone

A solid shape with a circular base and a curved surface that come to a point (vertex).

sphere

A solid shape that is perfectly round like a ball. No faces, edges, or vertices.

ellipsoid

(4/3) pi r1 r2 r3

V=Bh

Prism: Volume

V=1/3Bh

Pyramid: Volume

volume

measures the amount of space taken up by the object.

prism

A solid geometric figure whose two end faces are similar, equal and parallel rectilinear figures, and whose sides are parallelograms.

(π)(r²)( h)

Volume of a Cylinder

b(h)

Volume of a Prism

(4/3π)(r³)

Volume of a Sphere

(1/3)(b)(h)

Volume of a Pyramid

(1/3)(π)(r²)(h)

Volume of a Cone