# Chapter 10

### Sierra k

## Chapter 10 Vocabulary words:

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

*-height of a parallelogram:the perpundicular distance between the base and the opposite side*

*-solid:three dimensional figure that encloses a part of space *

*-polyhedron:a solid that is enclosed by polygons*

*-sphere: a solid formed by all points in space that are the same distance from a fixed point*

*-cone:a solid with one circular base*

*-Surface area: the sum of the areas of its bases*

*-slant height:(l) of a regular pyramid is the height of a lateral face.*

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

*-isometric drawing:another way to make a 2 dimensional drawing of a 3 dimensional figure*

*-net:a 2 dimensional pattern that forms a solid when it is folded*

## Formulas

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

Area of a parallelogram: A=b*h

Surface area of a Cone: S=3.14*r2+3.14*r*l

Volume of a pyramid: V=1/3*B*H

Volume of a prism: V=B*h

Surface Area of pyramid: S=B+1/2*P*l

Surface Area of a prism: S=2*B+P*h

Surface Area Of a cylinder: S=2*b+c*h=2*3.14*r2+2*3.14*r*h

## Examples+practice questions

## Examples:

*Area of a trapezoid*

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

* =1/2(12+18)(5)=75*

*Area of a circle*

*A=3.14*r^2*

* =3.14*3^2*

* =28.26*

*Surface area of a cylinder*

*S=2*3.14*r^2+2*3.14*h*

* =2*3.14*(9)^2+2*3.14(9)(26)*

* =1979.203*

*Surface area of a square pyramid*

*S=B+1/2PI*

* 12^2+1/2(4*12)(9)*

* =360*

*Volume of a Prism*

*V=Bh*

* =1/2(7*14)(21)*

* =1029*

*Volume of a cone*

*V=1/3*3.14*r^2h*

* =1/3*3.14(7)^2(18)*

* =923.628*

## Practice question:

Volume of small container: Volume of larger container:

V=1/3*3.14*r^2h V=2.14*r^2h

=1/3(3.14)(3)^2(6) =(3.14)(2.5)^2(6)

=56.2in.^2 =117.75in^2