# Chapter 10

## Section 1

Vocabulary:

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

Bases of a trapezoid- its 2 parallel sides

Height of a trapezoid- the perpendicular distance between the bases

## Area of a parallelogram

The area of a parallelogram is the product of the base and height

ALGEBRA- A=bh

## Area of a Trapezoid

the area of a Trapezoid is one half the product of the sum of the bases and the height.

ALGEBRA- A=1/2(b1+b2)h

## Section 2

Vocabulary:

area-The amount of surface the figure covers

radius- distance from the center to the edge

circumference- distance around the circle

## Area of a circle

The area of a circle is the product of pi and the square of the radius

ALGEBRA- A=pir2

## Section 3

Vocabulary:

Polyhedron: a solid the is enclosed by polygons

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

Pyramid: one base, the other faces are triangles

Cone: a solid with one circular base

## Section 4

Net: a 2d pattern that forms a solid when it is folded

Surface Area: Sum of the areas of its faces

## Surface area of a Prism

The surface area of a prism is the sum of twice the area of a base B and the product of the bases perimeter P and the height h

ALGEBRA- S= 2B+Ph

(B= area of the base)(P= Perimeter of the base)

## Surface Area of a Cylinder

The surface are of a cylinder is the sum of twice the area of the base B and the product of the base's circumference C and the height h.

ALGEBRA-S=2B+Ch=2pir2+2pirh

(C=circumference of the base)

## Section 5

Vocabulary

Slant Height: The height of the lateral face(any face that is not the base)

## Surface Area of a Pyramid

The surface area of a pyramid is the sum of the area of the base B and one half the product of the base perimeter P and the slant height l

ALGEBRA- S= B+ .5Pl

## Surface Area of a Cone

The surface area of a cone is the sum of the area of the circular base with radius r and the product of pi, the radius r of the base, and slant height l.

ALGEBRA- S=pir2+pirl

## Section 6

Vocabulary

Volume: The amount of space a solid object occupies

## Volume of a Prism

The volume of a prism is the product of the area of the base B and the height h.

ALGEBRA- V=Bh

## Volume of a cylinder

The volume of a cylinder is the product of the area of a base B and the height h.

ALGEBRA- V=Bh

ALGEBRA- V=pir2h

pyramid -^

cone-^

volume-^

## Volume of a Pyramid

The volume V of a pyramid is one third the product of the area of the base B and the height.

ALGEBRA- V=1/3Bh

## Volume of a cone

The volume of a cone V is one third the product of the area of the base B and the height h

ALGEBRA- V= 1/3Bh

ALGEBRA- V=1/3pir2h

## Volume of a Sphere

The volume V of a sphere is four thirds the product of pi and the cube of the radius r.

ALGEBRA- V=4/3pir3

(the surface area and the volume can be the same)