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 Page 1


M e n s u r a t i o n
Page 2


M e n s u r a t i o n
WHAT IS IT?
A R E A
Area is the measure of the space covered by a 2D
shape. Like the shaded area in the square.
This method helps calculate the area of complex
figures accurately.
Polygons like trapeziums, triangles, and rhombuses
can be divided into simpler shapes for easier
calculations.
Standard Unit: Square units (e.g., cm², m²).
Page 3


M e n s u r a t i o n
WHAT IS IT?
A R E A
Area is the measure of the space covered by a 2D
shape. Like the shaded area in the square.
This method helps calculate the area of complex
figures accurately.
Polygons like trapeziums, triangles, and rhombuses
can be divided into simpler shapes for easier
calculations.
Standard Unit: Square units (e.g., cm², m²).
P E R I M E T E R
WHAT IS IT?
The perimeter of a shape is defined as the total
distance around the shape. 
The perimeter of different figures can be equal in
measure depending upon the dimensions. 
It is the length of the outline or boundary of any two-
dimensional geometric shape. 
Page 4


M e n s u r a t i o n
WHAT IS IT?
A R E A
Area is the measure of the space covered by a 2D
shape. Like the shaded area in the square.
This method helps calculate the area of complex
figures accurately.
Polygons like trapeziums, triangles, and rhombuses
can be divided into simpler shapes for easier
calculations.
Standard Unit: Square units (e.g., cm², m²).
P E R I M E T E R
WHAT IS IT?
The perimeter of a shape is defined as the total
distance around the shape. 
The perimeter of different figures can be equal in
measure depending upon the dimensions. 
It is the length of the outline or boundary of any two-
dimensional geometric shape. 
 AREA & PERIMETER FORMULAS
FOR COMMON SHAPES
F O R M U L A S
Page 5


M e n s u r a t i o n
WHAT IS IT?
A R E A
Area is the measure of the space covered by a 2D
shape. Like the shaded area in the square.
This method helps calculate the area of complex
figures accurately.
Polygons like trapeziums, triangles, and rhombuses
can be divided into simpler shapes for easier
calculations.
Standard Unit: Square units (e.g., cm², m²).
P E R I M E T E R
WHAT IS IT?
The perimeter of a shape is defined as the total
distance around the shape. 
The perimeter of different figures can be equal in
measure depending upon the dimensions. 
It is the length of the outline or boundary of any two-
dimensional geometric shape. 
 AREA & PERIMETER FORMULAS
FOR COMMON SHAPES
F O R M U L A S
S Q U A R E
A R E A :
P E R I M E T E R :
S X S
S + S + S + S
S
S
Q) FIND THE AREA OF A SQUARE
WITH SIDE 4 CM
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FAQs on PPT: Mensuration

1. What's the difference between area and perimeter, and when do I need each one?
Ans. Perimeter measures the total distance around a shape's boundary (sum of all sides), while area measures the space inside it (square units). Use perimeter for fencing or border problems; use area for covering or painting surfaces. Both are fundamental mensuration concepts tested separately in CBSE Class 8 exams.
2. How do I calculate the surface area of a cube and cuboid correctly?
Ans. A cube's surface area is 6a² (where a is side length), since all six faces are identical squares. A cuboid's surface area is 2(lw + lh + wh), covering all six rectangular faces. These formulas form the foundation of three-dimensional mensuration problems in Class 8 mathematics.
3. Why do we multiply length by width for rectangle area, and is the formula always the same?
Ans. Multiplying length by width counts how many unit squares fit inside the rectangle. This fundamental formula holds consistently because rectangles have uniform dimensions. Understanding this principle helps students apply similar logic to other two-dimensional shapes and grasp mensuration concepts deeply.
4. What's the easiest way to remember formulas for circles, triangles, and composite shapes?
Ans. Use visual aids: flashcards showing each shape with its formula, PPTs with colour-coded components, and mind maps linking shapes to their mensuration formulas. For composite shapes, break them into simpler figures (rectangles, triangles, semicircles), calculate individually, then add areas. EduRev provides detailed notes and visual worksheets for mensuration practice.
5. How do I find the volume of irregular shapes or combined solids for Class 8 problems?
Ans. Decompose irregular solids into standard shapes like cubes, cuboids, cylinders, or spheres. Calculate each component's volume separately using respective formulas, then add them. This mensuration technique-called the decomposition method-simplifies complex three-dimensional problems and appears frequently in Class 8 mathematics assessments.
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