Chapter 10
Kacie H.
Section 1
Areas of parallelograms and trapezoids
Formulas
Area of a trapezoid A=1/2(b1+b2)h
Real life scenario
#2 You want to put a book shelf in your room but you only want it to take up a certain area of your wall space, so you have to find the length and width for your book shelf.
Section 2
Formulas
section 3
Three-Dimensional figures
real life scenario
section 4
surface area of prisms and cylinders
formulas
Surface area of a cylinder- S=2B+2πrh
Real life scenario
You want to know how much paint you need to paint your room and your lamp pole.
section 5
Surface areas of pyramids and cones
Formulas
Surface area of a cone- S=πr2+πrl
Surface area of a pyramid
S=256+1/2*64*17
S=256+544
S=800
**HINT** if the slant height is not there use the Pythagorean theorem
Real life scenario
#1You are making ice cream cones and you wan to make them with a certain diameter and height but you need to know how much dough you need minus the base.
#2 You are a window washer for the Luxor hotel, you need to know how many bottles of soap you need to buy to complete this task but first you have to find the surface area.
section 6
Volumes of prisms and cylinders
Formulas
Volume of a prism- V=Bh
Volume of a cylinder- V=Bh
real life scenarios
section 7
Volumes of pyramids and cones
formulas
real life scenario
#2 you are eating an ice cream cone and you want to see how much ice cream is in your cone
Extended chapter
Surface Area of a Sphere V=4πr2
Formula Cheat sheet
Area of a trapezoid- A=1/2h(b1+b2)
Area of a circle- A=πr2
Surface area of a pyramid- S=B+1/2Pl
Surface area of a cone- S=πr2+πrl
Surface area of a pyramid- S=B+1/2Pl
Surface area of a cone- S=πr2+πrl
volume of a cone and a prism V=1/3Bh
Volume of a prism- V=Bh
Volume of a cylinder- V=Bh
Vocabulary terms
Section 1
Height of a Parallelogram~The perpendicular distance between the base and the opposite side
Bases of a Trapezoid~ Its 2 parallel sides
Height of a trapezoid~ The perpendicular distance between the bases
Section 2
circle- the set of all points that are the same distance from a fixed point (radius)
radius- the distance from the center point to any edge of the circle
diameter- The length of a circle
Circumference- the distance around the circle
pi-π The ration of a circle's circumference to its diameter
section 3
Polyhedron- A solid that is enclosed by polygons.
face- Polygons that form a polyhedron
Prism- A polyhedron that have 2 congruent bases that lie in parallel planes
Pyramid- A polyhedron that only has one base
Cylinder- a solid with 2 congruent circular bases that lie in parallel planes
Cone- a solid with one circular base
Sphere- a solid formed by all points in space that are the same distance from the center
section 4
net- A 2D representational of a solid
Surface area- the sum of all areas of faces on a polyhedron