Rachel Botic Hr. 7
10.1- areas of parallelograms and trapezoids
*Base of a Parallelogram: is the length of any one of it's sides
*Height of a Parallelogram: the perpendicular distance between the base and the opposite side
*Bases of a Trapezoid: are it's two parallel sides
*Height of a Trapezoid: the perpendicular distance between the bases
10.2- Areas of Circles
*Area: the amount of surface the figure covers
*Circle: is the set of all points in a plane that are the same distance from a fixed point in the center
*Radius: the distance from the center to any point on the circle
*Diameter: is the distance across the circle that crosses through the center of the circle
*Circumference: the distance around the circle
*Pi: the non-repeating decimal that we use for finding the circumference and area of a circle
video on how to find the circumference of a circle
real life example for circumference
10.3 three-dimensional figures
*solid: a three dimensional figure that encloses a part of space
*polyhedron: a solid that is enclosed by polygons
*face: the polygons that form a polyhedron
*prism: is a polyhedron, that has two congruent bases that are parallel to each other.
*pyramid: is a polyhedron, that has one base, and the other faces are triangles
*cylinder: is NOT a polyhedron, and is a solid with two bases that are parallel to each other.
*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: the segments where faces of a polyhedron meet
*vertex: is a point where three or more edges meet.
Example of a Prism
A prism can be a tissue box for a real life example.
Example of a Pyramid
A pyramid is like one of the Ancient Egyptian Pyramids that are in Egypt, for a real life example.
Example of a Cylinder
A cylinder is like a soup can it has two bases which are circles, and aren't polyhedrons.
Example of a Pyramid
Example of a Cone
A cone can be a waffle ice cream cone for a real life example of a cone.
example of a sphere
A sphere can be a volleyball for an example in real life
10.4 surface areas of prisms and cylinders
*net: a two-dimensional pattern that forms a solid when it is folded
*surface area: is the sum of the area of it's faces.
how to find the surface area of a prism
S=2B+Ph-----------------------------------Write out formula first
S=2(1/2x10x12)+(13+13+10)15----Then fill in the numbers to solve
**For a triangular prism remember to multiply by 1/2!**
How to find the surface area of a cylinder
S=2TTr2+2TTrh--------------Write out formula first
S=2TT(4)2+2TT(4)(10.7)---Fill in numbers to solve
10.5 surface areas of pyramids and cones
*slant height: or l of a regular pyramid is the height of a lateral face, which is, any face that isn't the base
video on how to find the surface area of a pyramid
10.6 Volumes of Prisms and cylinders
*volume: is a measure of a solid's amount of space it takes up
10.7 volumes of pyramids and cones
*pyramid: is a polyhedron, that has one base as any polyhedron, with the other faces as triangles
*cones: a solid with one circular base
*volume: is a measure of a solid and how much space it takes up
video on how to find the volume of a pyramid
All formulas in chapter 10
Area of a Parallelogram: A=bh
Area of a Trapezoid: A=1/2(b1+b2)h
Area of a Circle: A=TTr2
Circumference: C=TTd or C=2TTr
Surface Area of a Prism: S=2B+Ph Triangular: S=1/2(2)B+Ph
Surface Area of a Cylinder: S=2B+Ch OR S=2TTr2+ 2TTrh
Surface Area of a Pyramid: S=B+1/2Pl "B"=area of the base-lw
Surface Area of a Cone: S=TTr2+TTrl
Volume of a Rectangular Prism: V=Bh "B"=area of the base-lw
Volume of a Triangular Prism: V=Bh "B"=area of the base-1/2lw
Volume of a Cylinder: V=Bh "B"=area of the base-TTr2
Volume of a Pyramid: V=1/3Bh "B"=area of the base-lw
Volume of a Cone: V=1/3Bh "B"=area of the base-TTr2
Volume of a Sphere: V=4/3TTr3
Surface Area of a Sphere: A=4TTr2