# Chapter 10

### Marynn Schifano

## Formulas

**Area of rectangle**: bh

**Area of square**: s^2

**Area of circle**: PI*r^2

**Area of Triangle**: 1/2*bh

**Area of Trapezoid**: 1/2*h(b1+b2)

**Volume of Cube**: l*w*h

**Volume of Cylinder**: PI*r^2*h

**Volume of Rectangular Prism**: w*h*l

**Volume of Cone**: 1/3*PI*r^2*h

**Volume of Pyramid**: 1/3*bh

**Volume of Sphere**: 4/3*PI*r^3

**Surface area of sphere**: 4*PI*r^2

**Surface area of Pyramid**: 2*bs+b^2

**Surface area of Cone**: PI*r (square root r^2+h^2)

**Surface area of rectangular prism**: 2(wl+hl+hw)

**Surface area of Cylinder**: 2*PI*r*h+2*PI*r^2

**Surface area of Cube**: 6*a^2

## 10.1

__Vocabular__y:* Base of a Parallelogram: *The length of any one of its sides.

* Height of a Parallelogram: *The perpendicular distance between the base and the opposite side.

* Base of a Trapezoid: *The two parallel sides.

* Height of a Trapezoid: *The perpendicular distance between the bases.

## 10.2

__Vocabulary:__* Area (of circles): *The product of pi and the square of the radius.

* Circle: *Set of all points in a plane that are the same distance from a fixed point.

* Radius: *Distance from the center to any point on the circle.

* Diameter: *The distance across the circle through the center, or twice the radius.

* Circumference: *The distance around the circle.

* Pi: *The constant repetition of a number represented by a Greek symbol.

## 10.3

__Vocabulary:__* Solid, Polyhedron, Face: *Solid in 3 detentions with flat faces.

* Prism: *A solid geometric figure with two of the same faces.

* Pyramid:* A structure with triangle or rectangle base which points meet at the top.

* Cylinder: *A geometric figure with parallel sides with circle cross sections.

* Cone: *A solid that goes from a circular base to a point at the top.

* Sphere: *A round solid object that has every point from the center equidistant from the center.

* Edge, Vertex: *The outside limit of an object, where two edges meet.

## 10.4

__Vocabulary:__* Net: *The unfolded area and shape of a 3D object.

* Surface Area: *The area of the undermost layer.

## 10.5

__Vocabulary:__* Slant Height: *The measurement of a cone or pyramid from the bottom to the top slanting up the shape.

## 10.6

__Vocabulary:__* Volume: *The amount of space an object occupies.

## 10.7

__Vocabulary:__* Pyramid: *A monumental structure with a square or triangular base with sloping sides that meet at the top in a point.

* Cone: *An object that starts with a circular base and slopes to a point at the top.

* Volume: *The amount of space an object occupies.

## Real Life Example

## Practice Problem

**Question:**find the area of a rectangle if its base is 4ft and it height is 30ft:*So you would start off with the formula, A=bh. Then plug in you numbers, 4*30. which would give you 120.*

**Answer: **120ft ^2

## Real Life Example

**PI= **3.14

**r= **radius

**V= **volume