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Ch8 Areas and Volumes (Basic Area Formulas (Square (Area = length x length…
Ch8 Areas and Volumes
Basic Area Formulas
Square
Area = length x length
Parallelogram
Area = base x height
Rectangle
Area = length x width
Trapezium
Area = (upper base + lower base) x height / 2
Triangle
Area = base x height / 2
Prism
Triangular prism
Hexagonal prism
Pentagonal prism
Rectangular prism
Volume of Cube and Cuboid
Cube
Volume = length x length x length
Cuboid
Volume = length x width x height
Volume of Prism
= Base area x Height
Total surface area
= base perimeter x height + base area x 2
Area of complex figures
Splitting area method 分割法
Area
= X + Y
= \( (\frac{9 \times 6}{2} + 9 \times 8) m^{2} \)
= 99 \( m^{2} \)
Subtraction method 減去法/填補法
Shaded area
= ABDE – BCD
=\( \frac{\big(12+18\big) \times 9}{2} - \frac{6 \times 8}{2} m^{2} \)
= 111 \( m^{2} \)
排水法 (Archimedes)
