CONVERSIONS AREA AND VOLUME CONVERSIONS CONVERSIONS Conversion of

CONVERSIONS AREA AND VOLUME

CONVERSIONS

CONVERSIONS Conversion of units refers to conversion factors between different units of measurement for the same quantity. Example: How many inches are in 1 meter? 1 meter ( )( ) 3. 3 ft 1 m 12 in 1 ft What do we know? 1 meter=3. 3 ft 1 foot=12 in = 39. 6 in. Conversions to know!! What we do? line up units so that everything cancels, but that last term… what you need!

80 milliliters to liters 80 ml x 1 L 1000 m. L = 0. 08 L

AREA

BASIC GEOMETRY Area, A, is the number of square units needed to cover a surface. Some common shapes and the formulas for calculating the area of each shape are shown below:

Find the area of each of the following shapes described below. 1. A rectangular driveway that is 4. 0 m wide and 68. 0 m long Area of a Rectangle = L x W A = 4. 0 x 68. 0 = 272 m 2

2. Circle with r = 8. 00 cm Area of a Circle = � r 2 A = �(8 cm)2= 201 cm 2

VOLUME

Volume The volume, V, of a three-dimensional object is the amount of space it occupies. The units for volume are length units cubed, such as m 3 or cm 3. Some common formulas for volume are shown below:

Find the volume of the shape: 4. A physics laboratory workbook with l = 27. 7 cm, w =21. 6 cm, and h= 3. 7 cm Area of a Rectangular Solid = lwh A = (27. 7)(21. 6)(3. 7)= 2213 cm 2

TRIGONOMETRY

ITS NOT AS SCARY AS IT SOUNDS… TRIG

TRIGONOMETRY

SOH CAH TOA In a Triangle all interior angles add up to 180°

1. Solve for the missing angle “A” and for sides “a” and “c” A c a 25º 6. 2 Lets solve for side “c” first. . c = 6. 84

Now, lets solve for side “a” = 2. 89 Finally, solve for angle “A” A c a 25º 6. 2 A + (25°) + (90°) = 180° – (25°) – (90°) = 65° All angles added up = 180° c = 6. 84 a = 2. 89 A = 65º