# Chapter 10

### Hunter M

## Formulas

**A=1/2(b1+b2)h**

Area of a circle **A=** **r²*****π**

Surface area of a prism **S=2B+PH**

Surface area of a cone (need net to find) **A=πr(r+√h²+r²)**

Volume for a cylinder **V=****π****r****2h**

Volume of a prism **V=lwh **(if is a triangle do** V=lwh*1/2**)

Volume of a pyramid **V=1/3Bh**

(B=area of base)

## Vocab

**Section 1**

-Base of a parallelogram: the length of any one of its sides

-Height of a parallelogram: the distance between the bases and opposite sides

-Bases of a trapezoid: its two parallel sides

-Height of a trapezoid: perpendicular distance between the base

**Section 2**

-Area: the extent or measurement of a surface

-Circle: a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

-Radius: a straight line from the center to the circumference of a circle or sphere

-Circumference: the enclosing boundary of a curved geometric figure, especially a circle

-Pi: the ratio of the circumference of a circle to its diameter

**Section 3**

-Solid: firm and stable in shape

-Polyhedron: a solid figure with many plane faces

-Face: the surface of a thing, especially one that is presented to the view or has a particular function, in particular

-Prism: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms

-Pyramid: an object, shape, or arrangement in the form of a pyramid

-Cylinder: a solid geometric figure with straight parallel sides and a circular or oval cross section.

-Cone: a solid or hollow object that tapers from a circular or roughly circular base to a point.

-Sphere: a round solid figure, or its surface, with every point on its surface equidistant from its center

-Edge: the outside limit of an object, area, or surface; a place or part farthest away from the center of something.

-Vertex: the highest point; the top or apex.

**Section 4**

-Net: two dimensional pattern that forms a solid when it is folded

-Surface area: the sum of the areas of its faces

**Section 5**

-Slant height: *l *of a regular pyramid is the height of a *lateral *face

**Section 6**

-Volume: the the measure of the amount of space it occupies

## 10.1 Areas of Parallelograms and Trapezoids

## Practice Question

**Question:**What is the area of a trapezoid is base 1 is

**37.6**base 2 is

**28.9**and the height is

**14.7**

**Answer: **488.77

## 10.2 Areas of Circles

## Practice Question

**Question:**Find the area of the circle when the

__diameter__is

**15.9**

**Answer: **198.56

## 10.3 Three-Dimensional Figures

## Practice Question

## 10.4 Surface Areas of Prisms and Cylinders

## 10.5 Surface Areas of Pyramids and Cones

## 10.6 Volumes of Prisms and Cylinders

## 10.7 Volumes of Pyramids and Cones

## Labels

**Area units2**

**Volume units3**