WAJ 3105

Tutorial 3.2

1. What is the relationship between gran and liter?
Answer:
Density = mass (g)/volume (liter)
gram = density X liter

2. What are the advantage of the metric units of measurement?
Answer:
- Reduce the mistake of writing the total of zero.
- Simple and easier to make an calculation
- Accurate calculation
- Same level as the international level.

3. Give that 1 mile=1.6 km. Use a calculator to verify that a hectare is about 2.5 acres. Show all the steps in your calculation.

metric unit:1km2=100 ha
imperial unit: 1 mile2=640 acres

Answer:
ha -> km -> mile -> acers ->

1 ha = 0.01 km2
= 0.01 (1/1.6)2 mile
= 0.01 (0.625)2 mile
= 0.01 (0.39) mile
= 0.00390625 mile2
= 0.00390625 x 640 acres
= 2.4996 acres
= 2.5 acres

4. Cullianan diamond, that largest diamond found in 1906 at the Prime Mine in S Africa, weighed 3106 carats. Estimate the weight of Cullianan diamond in pounds. (give that: 1carat=200mg, 2.2kg=1Ib)

1 carrat = 200 mg
2.2 kg = 1 Ib

Answer:
carrat -> mg -> g -> kg -> Ib

3106 carrat x 200 mg = 621 200 mg
621600 mg x 1000 g x 1000 kg = 0.6212 kg
but, 2.2 kg = 1 Ib
so, 0.6212 / 2.2 kg = 0.28236364 Ib = 0.2824 Ib