Measuring and Modeling - Vocabulary.

Use to study for the Geometry Test on April 10(Wednesday)

Volume

the number of non-overlapping units in the interior of a figure

Volume of a Prism Fomula

Volume = Base(Height)

Right Prism

solid that has a rectangle as its base and vertical sides perpendicular to the base.

Right Cylinder

a geometric solid with congruent circular bases that's perpendicular to its center axis

Volume of a Cylinder Formula

V = πr²h

Cavaleri’s Principle

If two solids have the same height and the same cross-sectional area at every level, the two solids have the same volume.

Volume of a Pyramid

V =base(height)/3

Sphere

round solid shape with every point on its surface equidistant from its radius.

Volume of a Sphere Formula

Volume = 4/3 (π*radius³)

Surface Area

total area of all of the faces and curved surfaces of a three dimensional figure

Surface Area of a Sphere

Surface Area = 4π*radius²

Cross section

A region of a plane that crosses a solid figure

Perimeter of a Polygon

The sum of the lengths of the polygons sides.

Pyramid

a pyramid in which the base is a regular polygon and that lateral faces are congruent triangles

Surface Area of a Pyramid

SA = ½ perimeter of base(length) * area of base