140 likes | 436 Vues
This comprehensive guide covers base units such as metre, litre, and gram, as well as metric prefixes for measurement. Learn about volume, mass, and length units along with conversion techniques. Practice examples included.
E N D
Internal 3 Credits Measurement 1.3
Metrics - Revision Base Units: metre (m) - length litre (L) - capacity (volume) gram (g) - mass (weight) milli (m) - Prefixes: * centi (c) - * * commonly used ones deci (d) - deca (D) - 10 hecto (H) - 100 kilo (k) - 1000 * mega (M) - 100000
Revision - Metric Conversions When changing to a larger unit, move the decimal point to the left. How far left depends on the number of zeros in the prefix value. Examples: 4321 mm = 4.321 m ÷ 1000 521 g = 0.521 kg ÷ 1000 62.1 mm = cm 6.21 ÷ 10 When changing to a smaller unit, move the decimal point to the right. Examples: x 100 524.3 m = cm 0 52430 4218.4 kg = g 0 0 4218400 x 1000 5.24 cm = mm 52.4 x 10 4.321 km = cm 0 0 x 1000 x 100 432100
What do you think volume is? • The volume of an object is a measure of how much space it occupies. • Anyone know how it is measured? • Cubic units: Cubic metres Cubic centimetres Cubic millimetres Volume m3 cm3 mm3
Different Volumes This is one cubic centimetre This is one cubic millimetre 1 cm3 1 cm = 10 mm This is one thousand cubic millimetres. 10mm x 10 mm x 10 mm = 1000 mm3 10 mm 10 mm
What is a prism? A object with parallel sides that are right-angles to each end. Rule is that each end has the same shape and size. Prisms
Volume Solids of uniform cross-section Volume of uniform solid = area of end x length or = area of end x height height end end length Area of the end = 12 x 10 = 120 cm2 Volume = 120 x 15 = 1800 cm3
Area of side = 37 cm2 Length (or height) = 5 cm What is the volume? What units? Prisms - volume 5 cm 37 cm2
What is the volume of this rectangular block in mm3 and cm3? Volume = l x w x h Try it. Example exercise 24 mm 39 mm 60 mm
Calculate volume of cylinder. Volume = ? Volume = r2 * h Calculate to 4 s.f. Exercise r = 1.9m h = 4.7m
Do exercise 13.01 • 1 a, b • 2 b • 4 a • 5 a, b, d, e • 6 a, b • 7 a, b • 8 c • 11 Practice examples