mensuration formula in detailed ( mensuration formula )

Table of Contents

Square
$\text{Area} = \text{side}^2$
Rectangle
$Area = length \times breadth$
Triangle
$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
Circle
$\text{Area} = \pi \times \text{radius}^2$
Parallelogram
$\text{Area} = \text{base} \times \text{height}$
Trapezium (Trapezoid)
$\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$
Rhombus
$\text{Area} = \frac{1}{2} \times \text{diagonal}_1 \times \text{diagonal}_2$

Cube
$\text{Volume} = \text{side}^3$
Rectangular Prism (Cuboid)
$\text{Volume} = \text{length} \times \text{breadth} \times \text{height}$
Cylinder
$\text{Volume} = \pi \times \text{radius}^2 \times \text{height}$
Sphere
$\text{Volume} = \frac{4}{3} \pi \times \text{radius}^3$
Cone
$\text{Volume} = \frac{1}{3} \pi \times \text{radius}^2 \times \text{height}$
Pyramid
$\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}$

Cube
$\text{Surface Area} = 6 \times \text{side}^2$
Rectangular Prism (Cuboid)
$\text{Surface Area} = 2 \times (\text{length} \times \text{breadth} + \text{breadth} \times \text{height} + \text{height} \times \text{length})$
Sphere
$\text{Surface Area} = 4 \pi \times \text{radius}^2$
Cylinder
$\text{Surface Area} = 2 \pi \times \text{radius} \times (\text{radius} + \text{height})$
Cone
$\text{Surface Area} = \pi \times \text{radius} \times (\text{radius} + \text{slant height})$