• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

  • NCERT Solutions
    • NCERT Solutions for Class 12 English Flamingo and Vistas
    • NCERT Solutions for Class 11 English
    • NCERT Solutions for Class 11 Hindi
    • NCERT Solutions for Class 12 Hindi
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

Form a Cuboid and Find the Formula for its Surface Area Experiment Class 9 Maths Practical NCERT

The experiment to determine Form a Cuboid and Find the Formula for its Surface Area are part of the Class 9 Maths Lab Manual provides practical activities and experiments to help students understand mathematical concepts effectively. It encourages interactive learning by linking theoretical knowledge to real-life applications, making mathematics enjoyable and meaningful.

Maths Lab Manual Class 9 CBSE Form a Cuboid and Find the Formula for its Surface Area Experiment

Determine Form a Cuboid and Find the Formula for its Surface Area Class 9 Practical

Objective
To form a cuboid and find the formula for its surface area experimentally.

Materials Required

  1. Cardboard
  2. Cutter/Scissors
  3. Ruler
  4. Adhesive tape
  5. Pen/Pencil
  6. Sketch pens

Prerequisite Knowledge

  1. Basic knowledge about cuboid.
  2. Total surface area, lateral surface area and diagonal of a cuboid.

Theory

  1. For knowledge about cuboid refer to Activity 7.
  2. Let the length of the cuboid be l units, breadth b units and height h units, then
    • Total Surface Area: Surface area (SA) or total surface area (TSA) of the cuboid
      = Sum of all faces of the cuboid
      = lb + lb + bh + bh + lh + lh
      ⇒ SA or TSA = 2 (lb+bh+hl) sq.units
      i.e. SA or TSA =2 (Length x Breadth + Breadth x Height + Height x Length)
    • Lateral Surface: Area If out of the six faces of a cuboid, we leave the bottom and top faces and find the area of the four faces, then the area of these four faces is called the lateral surface area of the cuboid.
      So, lateral surface area of a cuboid = 2(l + b)h
    • Diagonal of a Cuboid
      Diagonal of a cuboid = √(l2 +b2 +h2)

Procedure

  1. Take a cardboard of a suitable size and cut two identical rectangles of dimensions x units * y units (see Fig. 27.1), two identical rectangles of dimensions y units * z units (see Fig. 27.2) and two identical rectangles of dimensions z units * x units, (see Fig. 27.3) Flere, x > y > z.
    NCERT Class 9 Maths Lab Manual - Form a Cuboid and Find the Formula for its Surface Area 1
  2. Now, arrange all the cut out rectangles and join all of them with the help of adhesive tape, (see Fig. 27.4)
    NCERT Class 9 Maths Lab Manual - Form a Cuboid and Find the Formula for its Surface Area 2
  3. Fold the rectangles along the dotted markings (or along with adhesive tape) and form a cuboid by using adhesive tape, (see Fig. 27.5)
    NCERT Class 9 Maths Lab Manual - Form a Cuboid and Find the Formula for its Surface Area 3

Note: Instead of making six rectangles separately, a net of a cuboid be directly prepared on the cardboard itself.

Demonstration
Surface area of cuboid so formed = 2 x [Area of rectangle of dimensions (x units * y units)
+ Area of rectangle of dimensions (y units * z units) + Area of rectangle of dimensions (z units * x units)]
= 2(xy + yz +zx) sq units

Observation
By actual measurement,
x = ………
y = ………
z = ………
xy = ……….
yz = ………
zx = ………
2xy= ………..
2yz = ……….
2zx = ………..
Sum of the areas of all rectangles = …………
Hence, surface area of the cuboid = 2(xy + yz + zx)

Result
We have verified the formula for calculating surface area of a cuboid.

Application
The result is used in estimation of materials necessary in the production of cuboidal boxes/almirahs, etc.

Viva-Voce

Question 1.
How many edges a cuboid has?
Answer:
12

Question 2.
Are all the edges of cuboid equal in dimensions?
Answer:
No

Question 3.
In a cuboid, how many edges are equal to length?
Answer:
4 edges are equal to length.

Question 4.
What do you mean by a cuboid?
Answer:
Cuboid is a three dimensional solid bounded by six rectangular faces

Question 5.
In a cuboid, how many edges are equal to breadth?
Answer:
4 edges are equal to breadth.

Question 6.
In a cuboid, how many edges are equal to height?
Answer:
4 edges are equal to height.

Question 7.
What will be the length of longest rod that can be placed inside a cuboid?
Answer:
The length of longest rod that can be placed in a cuboid is equal to diagonal of a cuboid.

Suggested Activity
By using this activity, find the area of cuboid which is 13m long, 10m broad and 7m high.

Math LabsMath Labs with ActivityMath Lab ManualScience LabsScience Practical Skills

NCERT Class 9 Maths Lab Manual 

  • Determine Verify that the Sum of the Angles of a Quadrilateral is 360° Class 9 Experiment
  • Determine Find the Formula for the Area of a Trapezium Class 9 Experiment
  • Determine Verify that the Parallelograms on the Same Base Class 9 Experiment
  • Determine Verify that the Triangles on the Same Base Class 9 Experiment
  • Determine Verify that the Ratio of the Areas of a Parallelogram Class 9 Experiment
  • Determine Verify that the Angle Subtended by an Arc of a Circle Class 9 Experiment
  • Determine Verify that the Angles in the Same Segment of a Circle are Equal Class 9 Experiment
  • Determine Verify that the Opposite Angles of a Cyclic Quadrilateral Class 9 Experiment
  • Determine Form a Cube and Find the Formula for its Surface Class 9 Experiment
  • Determine Form a Cuboid and Find the Formula for its Surface Area Class 9 Experiment
  • Determine Form a Cone from a Sector of a Circle Class 9 Experiment
  • Determine Find a Formula for the Curved Surface Area of a Cylinder Class 9 Experiment
  • Determine Find the Relationship among the Volumes of a Cone Class 9 Experiment
  • Determine Obtain the Formula for the Surface Area of a Sphere Class 9 Experiment
  • Determine Draw Histograms for Classes of Equal Widths and Varying Widths Class 9 Experiment
  • Determine Find Probability of Unit’s Digit of Telephone Numbers Class 9 Experiment
  • Determine Find Probability of each Outcome or a Die Class 9 Experiment

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers
  • The Summer Of The Beautiful White Horse Answers
  • Job Application Letter class 12 Samples
  • Science Lab Manual Class 9
  • Letter to The Editor Class 12 Samples
  • Unseen Passage For Class 6 Answers
  • NCERT Solutions for Class 12 Hindi Core
  • Invitation and Replies Class 12 Examples
  • Advertisement Writing Class 11 Examples
  • Lab Manual Class 10 Science

Recent Posts

  • Understanding Diversity Question Answer Class 6 Social Science Civics Chapter 1 NCERT Solutions
  • Our Changing Earth Question Answer Class 7 Social Science Geography Chapter 3 NCERT Solutions
  • Inside Our Earth Question Answer Class 7 Social Science Geography Chapter 2 NCERT Solutions
  • Rulers and Buildings Question Answer Class 7 Social Science History Chapter 5 NCERT Solutions
  • On Equality Question Answer Class 7 Social Science Civics Chapter 1 NCERT Solutions
  • Role of the Government in Health Question Answer Class 7 Social Science Civics Chapter 2 NCERT Solutions
  • Vital Villages, Thriving Towns Question Answer Class 6 Social Science History Chapter 9 NCERT Solutions
  • New Empires and Kingdoms Question Answer Class 6 Social Science History Chapter 11 NCERT Solutions
  • The Delhi Sultans Question Answer Class 7 Social Science History Chapter 3 NCERT Solutions
  • The Mughal Empire Question Answer Class 7 Social Science History Chapter 4 NCERT Solutions
  • India: Climate Vegetation and Wildlife Question Answer Class 6 Social Science Geography Chapter 8 NCERT Solutions
  • Traders, Kings and Pilgrims Question Answer Class 6 Social Science History Chapter 10 NCERT Solutions
  • Environment Question Answer Class 7 Social Science Geography Chapter 1 NCERT Solutions
  • Understanding Advertising Question Answer Class 7 Social Science Civics Chapter 7 NCERT Solutions
  • The Making of Regional Cultures Question Answer Class 7 Social Science History Chapter 9 NCERT Solutions

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions