# Chapter 10

## Formulas

Area of a trapezoid 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=πr2h

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

## 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

HOW TO FIND THE AREA OF A TRAPEZOID: THE EASY WAY!

## Practice Question

Question: Find the area of the circle when the diameter is 15.9

Answer: 198.56

## 10.4 Surface Areas of Prisms and Cylinders

Cylinder Volume and Surface Area

## 10.5 Surface Areas of Pyramids and Cones

Introduction to Nets and 3D Objects

Volume of Shapes

Area units2

Volume units3