# Chapter 10

### Kacie H.

## Section 1

## Areas of parallelograms and trapezoids

## Formulas

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

website to help find the area of a parrallelogram

Use this link to help find the area of a trapezoid

## 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 prism-**S=2B+Ph

**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 pyramid-**S=B+1/2Pl

**Surface area of a cone**- S=πr2+πrl

## 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.

use this button to help you with 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

**volume of a cone and a prism**V=1/3Bh

## 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 parallelogram**- A=bh

**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

**Base of a Parallelogram~**is the length of anyone of its sides

**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

**Area-**The number of square units covered by a figure

**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

**Solid-**A 3D figure that encloses part of a space

**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

## section 5

**Slant height-**The height of a lateral face

## section 6

**volume**- the amount of space a solid occupies