Mensuration

🦉 Conversion

1\text{ m} = 100\text{ cm}

1\text{ m}^2 = 10,000\text{ cm}^2

1\text{ m}^3 = 1,000,000\text{ cm}^3

🦉 Parallelogram

\text{Area} = b \times h

🦉 Trapezium

\text{Area} = \frac{a+b}{2} \times h

🦉 Circle

\text{Circumference} = 2\pi r

\text{Area} = \pi r^2

🦉 Cuboid

\text{Surface area} = 2(lb + lh + bh)

\text{Volume} = l \times b \times h

🦉 Cylinder

Surface area = 2 × base area + curved surface area

= 2\pi r^2 + 2\pi r h

Volume = base area × height

= \pi r^2 h

🦉 Prism

\text{Volume} = \text{cross-sectional area} \times l

🦉 Pyramid

\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}

🦉 Cone

Volume = $\frac{1}{3}$ × base area × height

= \frac{1}{3} \pi r^2 h

Surface Area = base area + curved surface area

= \pi r^2 + \pi r l

🦉 Sphere

\text{Volume} = \frac{4}{3} \pi r^3

\text{Surface area} = 4\pi r^2

🦉 Radian & Degree

180° = \pi \text{ rad}

🦉 Arc Length & Sector Area

Degree

s = \frac{\theta}{360°} \times 2\pi r \text{, where } \theta \text{ is in degrees}

A = \frac{\theta}{360°} \times \pi r^2 \text{, where } \theta \text{ is in degrees}

Radian

s = r\theta \text{, where } \theta \text{ is in radians}

A = \frac{1}{2} r^2 \theta \text{, where } \theta \text{ is in radians}