M1-2: Measurement

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Mind Map by ejmwatergirl, updated more than 1 year ago
ejmwatergirl
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Math 10-1
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M1-2: Measurement
1 How many units per other units (Imperial)
1.1 12 inches/foot
1.2 3 feet/yard
1.3 1760 yards/mile
2 conversions from imperial to metric
2.1 Inches
2.1.1 1 inch=2.5 cm
2.1.2 1 cm= 4/10 inches
2.1.3 1 m= 39 inches
2.2 Feet
2.2.1 1 foot= 30cm
2.2.2 1 foot= 0.3 m
2.2.3 1 m= 3.25 feet
2.3 Yards
2.3.1 1 yard= 90 cm
2.3.2 1 yard= 0.9m
2.4 Miles
2.4.1 1 mile= 1.6 km
2.4.2 1km= 6/10 miles
3 Equations
3.1 Surface area
3.1.1 right pyramid with a regular polygon base
3.1.1.1 1/2s(perimeter of base)+(base area)
3.1.2 right cone
3.1.2.1 πrs+πr2
3.1.3 Sphere
3.1.3.1 4πr2
3.1.4 Hemispheres
3.1.4.1 1/2(4πr2) + πr2
3.2 Volume
3.2.1 hemispeheres
3.2.1.1 2/3πr3
3.2.2 spheres
3.2.2.1 4/3(πr3)
3.2.3 right cylinder
3.2.3.1 πr2h
3.2.4 right cone
3.2.4.1 1/3(πr2h)
3.2.5 right rectangular prism
3.2.5.1 length x width x height
3.2.6 right rectangular pyramid
3.2.6.1 1/3 x l x w x h
4 Definitions
4.1 imperial units
4.1.1 measurement units commonly used in the US and some industries in Canada.
4.1.2 ie. inch, foot, yard, mile, nautical mile
4.2 unit analysis
4.2.1 the method of converting units and measuring them in different units
4.2.2 ie. 5 feet= 150 cm
4.3 SI measurement system
4.3.1 a system of units based on the power of 10
4.3.2 ie. meters, kilograms, seconds
4.4 apex
4.4.1 the vertex farthest from the base of an object
4.4.2 example of an apex is above
4.5 right pyramid
4.5.1 an object that has one face that is a polygon and other faces that are triangles with a common vertex
4.5.2 an example of a right pyramid is below
4.6 right cone
4.6.1 an object with one circular base and one vertex
4.6.2 i.e. ice cream cone
4.7 slant height
4.7.1 the distance from a point on the perimeter of the base of a cone to the apex of the cone
4.7.2 see above for example
4.8 lateral area
4.8.1 the surface area of an object not including its bases
4.8.2 see below for example
4.9 sphere
4.9.1 an object where every point on the surface of the object is the same distance from the centre of an object
4.9.2 see example below
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