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Question
unit 1 – metric measurements
- put the following in order from largest to smallest:
centimeter, meter, kilometer, millimeter, dekameter, decimeter
small ____ / __ / __ / __ / __ / ____ large
- 2 pounds would be closest to what amount: (circle one) 1 gram/ 1 centigram/ 1 milligram/ 1 kilogram/ 1 dekagram
- 1 mile would be closest to: (circle one) 1 meter/ 1 centimeter/ 1 millimeter/ 1 kilometer/ 1 dekameter
determine the missing information of for the following substance: (make sure to add labels)
use the triangle to the right to help you remember how to calculate the missing value.
sample of mass (g) volume (cm³) density (g/cm³)
- air (in this room) 450,000 375,000,000 ______
- ice (water) 200,000 217,391 ______
- liquid water (fresh) 760 760 ______
- iron 4,290 550 ______
- gold 1,000 51.8 ______
- mercury ______ 300 13.6
- silver 650 ______ 10.5
- how many minutes are in three - quarters of an hour? ______
- 2,700 seconds is how many minutes? ______ how many hours is that same amount of
time? ______
- if 1 kg = 2.2 pounds, how many pounds does a 75 kg person weigh? ______
1) Order metric length units
Metric prefix values: 1 km=10³m, 1 dam=10m, 1m=1m, 1dm=0.1m, 1cm=0.01m, 1mm=0.001m. Order from small to large: millimeter < centimeter < decimeter < meter < dekameter < kilometer.
2) Convert pounds to grams
1 pound ≈ 453.592g, so 2 pounds ≈ 907.184g ≈ 1kg.
3) Convert miles to meters
1 mile ≈ 1609.34m ≈ 1km.
4) Calculate air density
Density = mass/volume = 450000g / 375000000cm³ = 0.0012g/cm³.
5) Calculate ice density
Density = 200000g / 217391cm³ ≈ 0.92g/cm³.
6) Calculate water density
Density = 760g / 760cm³ = 1g/cm³.
7) Calculate iron density
Density = 4290g / 550cm³ = 7.8g/cm³.
8) Calculate gold density
Density = 1000g / 51.8cm³ ≈ 19.3g/cm³.
9) Calculate mercury mass
Mass = density×volume = 13.6g/cm³×300cm³ = 4080g.
10) Calculate silver volume
Volume = mass/density = 650g / 10.5g/cm³ ≈ 61.9cm³.
16) Convert hours to minutes
3/4 hour × 60min/hour = 45min.
17) Convert seconds to minutes/hours
2700s / 60s/min = 45min; 45min / 60min/hour = 0.75hour.
18) Convert kg to pounds
75kg × 2.2lb/kg = 165lb.
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- millimeter / centimeter / decimeter / meter / dekameter / kilometer
- 1 kilogram
- 1 kilometer
- 0.0012 g/cm³
- 0.92 g/cm³
- 1 g/cm³
- 7.8 g/cm³
- 19.3 g/cm³
- 4080 g
- 61.9 cm³
- 45
- 45; 0.75
- 165