Chapter 10

Sam D.

Measurement, Area, and Volume - Section 10

10.1

Vocabulary: Formulas:


Base of Parallelogram: length of

any one of its sides

Height of Parallelogram: perpendicular

distance between the base and the

opposite sides

Bases of a Trapezoid: its two parallel sides

Height of a Trapezoid: perpendicular

distance between the bases


Formulas:

* Area of a trapezoid:

*A=1/2(b + b)h

*Area of a parallelogram:

*A=bh

10.2

Vocabulary:

Area: the number of square units covered by a figure

Circle: set of all points in a plane that are the same distance, called radius, from a fixed point, called the center

Radius: distance between the center and any point on the center

Diameter: the distance across the circle through the center

Circumference: the distance around a circle

Pi: the ratio of the circumference of a circle to its diameter






Formulas:

*Area of a circle:

*A=pi r square

Big image

10.3

Vocabulary:

solid: a three dimensional figure that encloses a part of space

polyhedron: solid that is enclosed by polygons

faces: polygons that form a polyhedron

prism: has two bases and is a polyhedron

pyramid: has one base and the edges meet in one point

cylinder: two bases that are circular

cone: is a solid with one circular base

sphere: solid formed by all points in space that are the same distance from a fixed point

edge: segments where faces of a polygon meet

vertex: where three or more edges meet

10.4

net: a two dimensional pattern that forms a solid when its folded

surface area: the sum of the areas of its faces




Formulas:

*Surface area of a prism:

* S=2B+Ph

* Surface area of a cylinder

* S=2B+Ch S= 2 pi*r*r+2*pi*r*h

10.5

Vocabulary:

slant height: l of a regular pyramid is the height of a lateral face (any face but the base)




Formulas:

* Surface area of a Pyramid

*S=B+1/2Pl

* Surface area of a cone:

* S= pi*r*r + pi*r*l




10.6

Vocabulary:

Volume: is a measure of the amount of space it occupies





Formula:

*Volume of a Prism

* V=Bh

* Volume of a cylinder

* V=bh V= pi*r*r*h

10.7

Formulas:

* Volume of a Pyramid

* V=1/3Bh

* Volume of a Cone:

* V=1/3Bh V=1/3pi*r*r*h

Lables

Volume:

units^3

Area:

units^2

Volume of a Sphere - MathHelp.com - Math Help
Volume of a Cone - MathHelp.com - Math Help
Volume of Prism and Cylinders
How to work out the volume of a triangular prism
The Volume Song (Happy Parody)
Area Formula Song