CONVERSIONS AREA AND VOLUME CONVERSIONS CONVERSIONS Conversion of

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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