CHAPTER 10

TANNER L

Chapter 10.1

Vocabulary

Base of a parallelogram is the length of any side of the parallelogram can be used as the base.


Height of a parallelogram is the perpendicular distance between the side whose length is the base and the opposite side.


Bases of a trapezoid is the lengths of the parallel sides sides of the trapezoid.


Height of a trapezoid
is the perpendicular distance between the bases of the trapezoid.

Real Life Examples

Algebra - Area of a Trapezoid

Chapter 10.2

Vocabulary

Area is the number of square units covered by a figure.


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


Radius is the distance between the center and any point on the circle.


Diameter is the distance across the circle through the center.


Circumference is the distance around the circle.


Pi is the ratio of the circumference of a circle to its diameter.

Area of a Circle

A= PI*r^2


pi= 3.14, pi button on calculator, or 22/7

r= radius

Formula for Circumference


2*pi*r


pi= 3.14, pi button on calculator, or 22/7

r= radius

Area of a Circle

Area of a Circle - MathHelp.com - Math Help

Circumference of a Circle

Circumference of a Circle - MathHelp.com - Math Help

Chapter 10.3

Vocabulary

Solid is a three-dimensional figure that encloses a part of space


Polyhedron is A solid that is enclosed with polygons


Face is a polygon that is a side of the polyhedron


Prism is a solid, formed by polygons, that has two congruent bases lying in parallel planes


Pyramid is A solid, formed by polygons, that has one base. The base can be any polygon, and the other faces are triangles


Cylinder is A solid with two congruent circular bases that lie in parallel planes


Cone is A solid with one circular base


Sphere is A solid formed by all points in space that are the same distance from a fixed point called the center


Edge is A line segment where two faces of the polyhedron meet


Vertex is A point at which three or more edges of a polyhedron meet

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Chapter 10.4

Vocabulary

Net is two dimensional representation of a solid. This pattern forms a solid when it is folded

Surface Area is the sum of the areas of the faces of the polyhedron

Surface area of Cylinder

Surface Area Of A Cylinder - VividMaths.com

Chapter 10.5

Vocabulary

Slant Height is the height of ant face that is not the base of a regular pyramid

Real life Examples

Surface area of a Cone

Surface Area Of A Cone - VividMaths.com

Chapter 10.6

Vocabulary

Volume is the amount of space the solid occupies


Volume of a Cylinder

Volume Of A Cylinder

Chapter 10.7

Vocabulary

Pyramid is A solid, formed by polygons, that has one base.


Cone is A solid with one circular base.


Volume is The amount of space the solid occupies.

volume of a Pyramind

Formula


V=1/3*B*h

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Volume of a Cone


Formula

V=1/3Bh or V=1/3*pi*r^2*h

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Volume and Surface area of a Sphere

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Volume for a Sphere


Formula

V=4/3*pi*r^3

^3 to the third power or cubed

Surface area of a Sphere


Formula

S=4*pi*4^2

^2= squared

Surface Area of a Sphere

Surface Area of a Sphere, deriving the formula

Volume of a Sphere

Volume Of A Sphere

All Formula for Chapter 10

Area of a Parallelogram- A=b*h

Area of a Trapezoid- A=1/2(b1+b2)h

Area of a Circle- A= pi*r^2

Surface Area of a Prism- S=2*B+P*h

Surface Area of a Cylinder- S=2*B+C*h or S=2*pi*r^2+2*pi*r*h

Surface Area of a Pyramid- S=B+1/2*P*l

Surface Area of a Cone- S=pi*r^2+pi*r*l

Surface Area of a Sphere- S=4*pi*4^2

Volume of a Prism- V=B*h

Volume of a Cylinder- V=B*h or V=pi*r^2*h

Volume of a Pyramid- V=1/3*B*h

Volume of a Cone- V=1/3*B*h or V=1/3*pi*r^2*h

Volume of a Sphere- V=4/3*pi*r^3