Formulas » Measurement Formulas

Measurement Formulas

Measurement formulas: Explore more about the measurement formulas with solved examples.

Measurement formulas

These formulas are applied to measure ratios of a specific quantity. It is derived by comparing one quantity with the conventional unit. The fundamental measurements are area, mass, volume, and distance.

Measurement formulas are there to assist us in finding the basic measurements using the provided parameters. This category of formulas also comprises a few conversion formulas such as the conversion of meter to miles, an inch into feet, etc.

What are the measurement formulas?

For various objects, we get separate measurement formulas. These formulas are indispensable when you wish to calculate the parameters of certain objects. The dimension of any object is either 2 dimensional or 3 dimensional. Below we have listed the measurement formulas for different shapes.

Table of measurement formulas applicable to 2-dimensional shapes

Shape Type

Measurement of area

Measurement of perimeter

Rectangle

Length x breadth square units

2 x (length + breadth) 

Square 

(Measurement of a side)2

4 x measurement of any side

Triangle

½ x base x altitude square units

Sum of three sides

Parallelogram

Height x base square units

2(a+b)

Isosceles Trapezoid

½ x h(a+b) square units

a + b + c + d

Circle

Πr2 square units

2 Πr

Rhombus

½ x 1st diagonal x 2nd diagonal square units

4 x measurement of any side

For 3-D shapes, we can evaluate the total surface area, length and volume. 

Table of measurement formulas applicable to 3-dimensional shapes

Shape Type

Total surface area

Length or lateral surface area

Volume

Cube 

6a2

4a2

a3

Cuboid

2 x (length x breadth + breadth x height + height x length)

2. height (breadth + length)

Length x height x breadth

Cone

Πr(r+l), here r is the radius of the cone’s base.

Πrl

Here, l is the slant height of the cone.

1/3 Πr2h

Sphere 

4 Πr2

–

4/3 Πr3

Cylinder

2 Πr(h+r )

2Πrh

Πr2h

Prism

Lateral surface area x (2x base area)

Height x base perimeter 

Base x height

Pyramid

Base area + lateral surface area

½ perimeter x slant height

1/3 x h x B

Solved Examples

  1. Junaid measured that each side of a square is 6cms. Calculate its area using measurement formulas.

Solution: According to the measurement formulas, area of square = a2

Here the value of a is 6cms.

Therefore, area of the square is (6cm)2 or, 36cm2.

Answer: 36cm2

  1. Apply the measurement formulas to determine the area of the circle that has a radius of 11 units.

Solution: Area of any circle = r2Π sq. units

= 112 x Π sq. units

= 379.94 sq. units

Answer: 379.94 sq. units.

faq

Frequently asked questions

Get answers to the most common queries related to the Measurement formulas.

Write down the measure formula used for a rectangle.

Ans: To find the area of a rectangle we multiply its length and breadth 🡪(l x b square units).  ...Read full

How to measure a cuboid’s total surface area?

Ans: Formula to measure a cuboid’s total surface area: 2 x (length x breadth + breadth x height + height x length)...Read full