1. Course Notes
1.1 Length, Area, and Volume Conversions
Measurement is crucial in biotechnology and horticulture for lab work, land planning, and designing irrigation systems.
Different measurement units are used in various fields (Metric & Imperial systems).
Common Length Units: mm, cm, m, km, inch, foot, yard.
Common Area Units: cm², m², ha (hectare), acre.
Common Volume Units: cm³, m³, liters, gallons.
Conversion Formula: 1 m = 100 cm, 1 km = 1000 m, 1 ha = 10,000 m².
1.2 Conversion Techniques
Use multiplication or division to convert between units.
Example: Convert 500 cm to meters.
Formula: 500 cm ÷ 100 = 5 meters.
1.3 Surface Area and Volume of 3D Shapes
Cube: SA = 6s², V = s³
Cylinder: SA = 2πr² + 2πrh, V = πr²h
Sphere: SA = 4πr², V = 4/3πr³
Example: Find the volume of a cylinder with radius 3 cm and height 10 cm.
Formula: V = π(3)²(10) = 282.74 cm³
2. Quizzes & Exercises
2.1 Multiple-Choice Questions (MCQ)
What is the correct conversion of 250 cm to meters?
A) 0.25 m
B) 2.5 m
C) 25 m
D) 2500 m
The area of a trapezium is calculated using the formula:
A) A = ½ × (a + b) × h
B) A = a × b × h
C) A = πr²
D) A = l × w
A 3-meter tree casts a 1.5-meter shadow. If a building casts a 12-meter shadow under the same conditions, how tall is the building?
A) 6 m
B) 12 m
C) 24 m
D) 30 m
2.2 Fill-in-the-Blank Questions
The SI unit for measuring length is the ________.
A hectare (ha) is equal to ________ square meters.
The volume of a cube is calculated as ________.
2.3 Problem-Solving Questions
Convert 850 mm to meters.
Find the perimeter of a rectangle with length 12 m and width 8 m.
Calculate the area of a triangle with a base of 10 cm and height of 5 cm.
