Measurement Formulas

Measurement Formula

Measurement formulae are a diverse set of equations used to quantify physical quantities, dimensions, or qualities. These formulas are used in a variety of scientific areas, including physics, engineering, and mathematics. Learn all measurement formulas in this article prepared by experts of Extramarks.

What are the Measurement Activities?

Measurement activities are simply tasks or actions we do to figure out how big, how much, or how long something is. Think about when you measure how tall you are or how far it is to your friend’s house. Those are measurement activities!

We use measurement activities all the time in our daily lives without even realizing it. From measuring ingredients when cooking to checking the time or counting how many steps we’ve walked, these activities help us understand and make sense of the world around us.

What are Measurement Formulas?

Measurement Formulas for measuring length, area, surface area, volume, circumference, and other quantities are frequently used.

They also contain conversion formulas for units like inches to feet and metres to miles, among others. The International System of Units (SI) is most frequently used in measurements as a basis for comparison.

These units are all defined without using a specific physical object to act as a standard.

Measurement Formula For 2D Objects

The list of measurement formula for 2D objects are mentioned below:

• Square
  • Perimeter =  4×Side
  • Area = Side × Side
• Rectangle
  • Perimeter = 2(length + breadth)
  • Area = length × breadth
• Triangle
  • Perimeter = Sum of Length of Sides
  • Area = 1/2 × base × height
• Parallelogram
  • Perimeter = 2(length + breadth)
  • Area = base × height
• Rhombus
  • Perimeter = 4×Side
  • Area = 1/2 × Diagonal₁ × Diagonal₂
• Circle
  • Circumference = 2πr
  • Area = πr²

Measurement Formulas for 3D Objetcs

The measurement formulas for 3D objects are mentioned below:

• Cube
  • Lateral Surface Area = 4 × a²
  • Total Surface Area = 6 × a²
  • Volume = a³
• Cuboid
  • Lateral Surface Area = 2h (l + b)
  • Total Surface Area = 2 (lb + bh + lh)
  • Volume = 2 (lb + bh + lh)
• Cylinder
  • Lateral Surface Area = 2πrh
  • Total Surface Area = 2πr(h + r)
  • Volume = πr²h
• Cone
  • Lateral Surface Area = πrl, here l is slant height
  • Total Surface Area = πr(r + l)
  • Volume = (1/3)πr²h
• Sphere
  • Surface Area = 4πr²
  • Volume  = (4/3)πr³
• Hemisphere
  • Lateral Surface Area = 2πr²
  • Total Surface Area = 3πr²
  • Volume = (2/3)πr³
• Prism
  • Lateral Surface Area = base perimeter × height
  • Total Surface Area = (2 × Base Area) + (Base perimeter × height)
  • Volume = Base Area × h

Solved Examples for Measurement Formula

Example 1: Find the area and perimeter of a reactangle whose length and width are 10cm and 12 cm respectively.

Solution:

Given, Length = 10 cm, Width = 12 cm

Perimeter = 2(Length + Width) = 2(10 + 12) = 44 cm

Area = Length × Width = 10 × 12 = 120 cm²

Example 2: Find the perimeter of square field whose each side measures 40 cm.

Solution:

Given, Side of square = 40 cm

Perimeter of Sqaure field = 4 × side = 4 × 40 = 160 cm

Example 3: Find the volume of a cubical box of edge length 12 cm?

Solution:

Given, Edge of cube = 12 cm

Volume of cubical box = Side³ = 12³ = 1728 cm³