Mathematics Sturgeon Composite High School - 20-3 - Measurement Area

Sep 18, 2026

Uploaded by Sage

Measurement Area reference sheet for Mathematics at Sturgeon Composite High School (Section 20-3). Consolidates unit conversion tables across imperial and metric systems for length, area, volume, capacity, and mass, followed by core formulas for finance, linear relations (slope), trigonometry (ratios, inverse functions, Pythagorean theorem), and geometry including 2D shapes and 3D solids with areas, perimeters, volumes, and surface areas.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Measurement Area

Unit Conversions

Finance and Linear Relations

Trigonometry

2D Shapes

3D Objects

Mathematics Sturgeon Composite High School 20-3 Measurement Area | Imperial to Imperial | Metric to Metric | Imperial to Metric | Metric to Imperial | | --- | --- | --- | --- | | 1 ft = 12 in | 1 cm = 10 mm | 1 in = 2.54 cm | 1 cm = 0.3937 in | | 1 yd = 3 ft | 1 cm = 0.01 m | 1 ft = 0.3048 m | 1 m = 3.2808 ft | | 1 yd = 36 in | 1 m = 1000 mm | 1 yd = 0.9144 m | 1 m = 1.0936 yds | | 1 mi = 5280 ft | 1 m = 100 cm | 1 mi = 1.6093 km | 1 km = 0.6214 mi | | 1 mi = 1760 yds | 1 km = 1000 m | | | | Imperial to Metric | Metric to Imperial | | --- | --- | | 1 in2 = 6.4516 cm2 | 1 cm2 = 0.1550 in2 | | 1 ft2 = 0.0929 m2 | 1 m2 = 10.7639 ft2 | | 1 yd2 = 0.8361 m2 | 1 km2 = 0.3861 mi2 | | 1 mi2 = 2.5900 km2 | | Volume | Imperial to Imperial | Metric to Metric | Imperial to Metric | Metric to Imperial | | --- | --- | --- | --- | | 1 ft3 = 1728 in3 | 1 hm3 = 1 000 000 m3 | 1 in3 = 16.38706 cm3 | 1 cm3 = 0.06102 in3 | | 1 yd3 = 27 ft3 | 1 Dam3 = 1000 m3 | 1 ft3 = 28.3168 dm3 | 1 m3 = 1.3147 ft3 | | | 1 m3 = 1 000 000 cm3 | 1 ft3 = 0.02832 m3 | 1 m3 = 1.30795 yds3 | | | 1 dm3 = 0.001 m3 | 1 yd3 = 0.764555 m3 | 1 km3 = 0.23991 mi3 | | | 1 km3 = 1 000 000 000 m3 | 1 mi3 = 4.16818 km3 | | | | 1 cm3 = 1 mL | | | Capacity | Imperial to Imperial | Metric to Metric | Imperial to Metric | Metric to Imperial | | --- | --- | --- | --- | | 1 ﬂ oz = 2 tablespoons | 1 kL = 1000 L | 1 gallon (US) = 3.7854 L | 1 mL = 0.03 ﬂ oz (US) | | 1 cup = 8 ﬂ oz | 1 hL = 100 L | 1 gallon (Imp) = 4.5461 L | 1 mL = 0.03 ﬂ oz (US) | | 1 pint = 2 cups | 1 Dal = 10 L | 1 ﬂ oz (US) = 29.5735 mL | 1 L = 2.11338 pint (US) | | 1 quart = 2 pints | 1 L = 10 dL | 1 ﬂ oz (Imp) = 28.4131 mL | 1 L = 1.75975 pint (Imp) | | 1 gallon = 4 quarts | 1 L = 100 cL | 1 bushel (US) = 35.2391 L | 1 L = 1.05669 quart (US) | | 1 gallon (Imp) = 1.2 gallon (US) | 1 L = 1000 mL | 1 bushel (Imp) = 36.3688 L | 1 L = 0.879877 quart (Imp) | | | 1 metric cup = 250 mL | | 1 L = 0.264172 gallon (US) | | | | | 1 L = 0.219969 gallon (Imp) | Mass | Imperial to Imperial | Metric to Metric | Imperial to Metric | Metric to Imperial | | --- | --- | --- | --- | | 1 lb = 16 oz | 1 g = 1000 mg | 1 oz = 28.35 g | 1 g = 0.04 oz | | 1 T (ton) = 2000 lbs | 1 kg = 1000 g | 1 lb = 0.45 kg | 1 kg = 2.21 lb | | | 1 t (tonne) = 1000 kg | 1 T (ton) = 0.91 t (tonne) | 1 t (tonne) = 1.10 T (ton) | Finance I = prt A = p ( 1+ i)n I = Simple Interest ($) p = Principal Investment ($) r = Annual Interest Rate (%) ⎛ r ⎞ A = p ⎜⎝ 1 + n~~ ~~ ⎠⎟ nt t = Time (yrs) A = Final Amount ($) i = Interest Rate per Compound (%) n = Number of Compounds Linear Relations Slope Formula rise y2 − y1 m = or run x2 − x1 Metric Staircase 􀀍􀀍􀀊􀀌􀀌􀀊 􀀆􀀆􀀈􀀎􀀒􀀊 􀀇 􀀇􀀈􀀆􀀊 􀀇􀀊􀀔􀀊􀀇􀀈 􀀅􀀕􀀅􀀄􀀑􀀈 􀀓􀀎􀀊􀀒 􀀃􀀂 􀀇􀀄 􀀇􀀈􀀆􀀄 􀀉􀀉􀀈􀀆􀀒􀀄 􀀋 􀀋􀀊􀀌􀀏 􀀍􀀓􀀌􀀒􀀊􀀐􀀌􀀕 􀀅􀀕 􀀃􀀂 Trigonometry Trigonometric Ratios sin(θ ) = ohpypp cos(θ ) = ahdjyp tan(θ ) = oppadj θ = Sin−1 ohpypp ⎛ ⎞ ⎜⎝ ⎠⎟θ = Cos−1 ahdjyp ⎛ ⎞ ⎜⎝ ⎠⎟θ = Tan−1 oppadj ⎛ ⎜⎝ ⎞ ⎠⎟ Arc Trigonometric Ratios hypotenuse c θ a opposite b adjacent Pythagorean Theorem a 2 + b2 = c2 [www.sturgeoncomp.ca](www.sturgeoncomp.ca) kmh2018.08 2D Shapes Square l l Area = l 2 Perimter = 4l Rhombus Rectangle l Area = lw Perimter = 2l + 2w Parallelogram w b Area = bh Perimeter = 4b b Area = bh Perimeter = 2b + 2s Triangle b Area = 12 bh Trapezoid a b Area = ⎜ ~~ ~~a~~ ~~+2~~ ~~b~~ ~~ ⎟ h Circle Area = πr2 Circumference = 2πr 3D Objects Cube l l Volume = l 3 TSA = 6l2 LSA = 4l2 Rectangular Prism | | | | | --- | --- | --- | | | | | | | | w | h l Volume = lwh TSA = 2lw + 2lh + 2wh LSA = 2lh + 2wh Cylinder Volume = πr2h TSA = 2πr2 + 2πrh LSA = 2πrh Cone Volume = ~~ ~~13 πr2h TSA = πr2 + πrs LSA = πrs Square Pyramid b Volume = ~~ ~~13b 2h TSA = b 2 + 2bs LSA = 2bs Sphere Volume = 43 πr3 TSA = 4πr2 Rectangular Pyramid l Volume = ~~ ~~13lwh TSA = lw + l

FAQs

What conversions are included in the Measurement Area sheet?

It lists conversion factors between imperial and metric units for length, area, volume, capacity, and mass.

Which math formula topics are covered beyond unit conversions?

Finance formulas (interest), linear relations (slope), trigonometric ratios and inverse trig, and the Pythagorean theorem are included.

What geometry content is provided for practice or review?

The sheet provides formulas for 2D shapes (area and perimeter) and for 3D objects (volume, TSA, and LSA) such as cubes, prisms, cylinders, cones, pyramids, and spheres.

Sep 18, 2026

Uploaded by Sage