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CBSE Class 8 Maths Worksheet Chapter 11 Mensuration - PDF

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Last updated date: 26th Jul 2024
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CBSE Maths Worksheet Chapter 11 Mensuration - Download Free PDF

Mensuration Class 8 Worksheets With Answers is a crucial resource for CBSE students. It aids in giving them a good understanding of the chapter, mainly the questions asked in the exam and how to respond to them. Vedantu offers all CBSE Class 8 Maths Solutions exercise-wise to assist students in test preparation and clear up any questions.

Mensuration is the area of Mathematics that deals with geometrical figures and their attributes, such as length, volume, shape, surface area, lateral surface area, etc. These CBSE Solutions for Class 8 Maths include all the critical mensuration formulas and the characteristics of various geometric figures and shapes. They provide clear explanations for the questions relating to these subjects.

Benefits of Class 8 Maths Mensuration Worksheet

Mensuration Class 8 practice questions PDF will improve fundamental conceptual understanding. Our exercises contain complete solutions to all essential theorems, greatly simplifying the idea for learners.

The Class 8 Maths Mensuration answer is a comprehensive resource for teachers of students in Class 8. Through the use of these Maths worksheets, educators can gain knowledge and understanding about the development of students as well as methods and techniques for teaching them effectively.

 

Examples of Class 8 Mensuration Questions

Here are some common examples of mensuration exercises:

Q. Find the circle's diameter, whose circumference is 230 meters.

Solution:

The circumference is 230 meters.

2r = 230m, r = 230, 72, 22, and 36.6m, respectively; 

d = 2r = 2m*36.6m= 73.18cm.

 

Q. A floor tile is shaped like a parallelogram, with a base of 24 cm and a height of 10 cm. How many of these tiles are needed to cover a 1080 m2 floor? (If necessary, you can divide the tiles however you'd like to fill in the corners.)

Solution:

Given: The tile's base measures 24 cm or 0.24 m

The height of a flooring tile is 10 cm or 0.10 meters.

Now, floor tile area equals base plus altitude.

= 0.24×0.10

= 0.024

The tile's surface area is 0.024 m2.

The formula for how many tiles are needed to cover the floor is: Area of floor/Area of one tile (1080/0.024).

= 45000 tiles

Thus, 45000 tiles are needed to cover the floor completely.

 

Q. Daisy is painting the walls and ceiling of a cuboidal hall with length, breadth, and height of 15 m, 10 m, and 7 m, respectively. From each can of paint, 100 m2 of the area is painted. How many cans of paint are needed need to paint the room?

Solution:

The wall measures 15 meters long, 10 meters wide, and 7 meters high

Total Surface Area of the classroom = l x b + 2(bh + hl)

= 15 × 10 + 2(10×7 + 7×15)

= 150 + 2(70 + 105)

= 150 + 350

= 500

Consequently, the required number of cans = hall area / can size

= 500/100 = 5

Therefore, painting the room requires five cans.

 

Q. A hollow cylinder has a lateral surface area of 4224 cm2. It is divided along its height to create a 33 cm wide rectangular sheet. Find the rectangle sheet's perimeter.

Solution:

The hollow cylinder's lateral surface area is 4224 cm2.

33 cm is the width of the rectangular sheet, and let l be its length.

Cylinder's lateral surface area equals the size of a rectangular sheet

4224 = b × l

4224 = 33 × l

l = 4224/33 = 128 cm

The rectangular sheet is therefore 128 cm long.

Also, the rectangular sheet's perimeter is equal to 2(l + b).

= 2(128+33)

= 322 cm

The rectangular sheet has a 322 cm perimeter.

 

Q. Metal Sheet is used to create a closed cylindrical tank with a 7m radius and a 3m height. How much metal sheet is needed?

Solution:

Cylindrical tank's radius, r = 7 m

The cylindrical tank's height is 3 meters.

The total tank surface area is equal to 2r(h+r).

= 2×(22/7)×7(3+7)

= 44×10 = 440

A metal sheet of 440 m2 is needed.

 

Key Features of Class 8 Mensuration PDF 

You can easily find Mensuration Class 8 worksheets PDF with answers on the website of Vedantu. You can download the free Mensuration worksheet for Class 8 on a laptop or mobile with a stable internet connection. Designed by our experts to meet students' needs, these Maths worksheets offer the highest quality of education. 

  • Mensuration class 8 worksheets have been well-formulated following the latest CBSE guidelines.

  • Provides various exercises with examples for mensuration sums, short, long questions, etc.

  • Solving many mensuration questions and answers will help you grasp the chapter’s concepts quickly.

  • Mensuration Class 8 practice questions PDF will improve fundamental conceptual understanding. Our exercises contain complete solutions to all essential theorems, greatly simplifying the idea for learners.

Numerous short answers, long answers, and HOTS (Higher Order Thinking Skills) problems significant for CBSE exams are covered in these Mensuration Class 8 Worksheets PDF with answers. Here are some critical measurement problems with easy solutions from CBSE Class 8. Our Vedantu’s top math experts have put together the Mensuration Class 8 Maths Important Questions PDF to aid students in understanding the fundamental ideas in mathematics. 

FAQs on CBSE Class 8 Maths Worksheet Chapter 11 Mensuration - PDF

1. What are the Class 8 Mensuration important concepts?

The essential coneptsin Class 8 Mensuration include:

The perimeter is measured in km, m, or cm. Area: The area of any solid geometric shape is the boundary closed surface. The measurement of the area is in km2, m2, or cm2. Surface Area: Any three-dimensional figure's total surface area is referred to as its surface area.

2. Who is the mensuration's founder?

The pioneer of mensuration is Archimedes.

3. What measurements can we do under mensuration?

Mensuration includes two types: 2D mensuration and 3D mensuration.

  • Only two dimensions—length and width—make up the 2D figures. The two-dimensional figure is flat; it has neither height nor depth.

  • Length, breadth, and height or depth are the three dimensions of a three-dimensional figure.

4. What are the perimeter formulas?

P = (L + W) x 2 is the perimeter formula for a rectangle, where P stands for perimeter, L for length, and W for width. You may quickly solve for the perimeter of a rectangular shape when its dimensions are known by simply entering the values of L and W into the formula.

5. What is Mensuration 3D?

Mensuration 3D contains the volume and surface area of the 3-D (dimension) figures. Examples are Cube, Cuboid, Cylinder, Cone, Sphere, Frustum, Pyramid, Prism, Tetrahedron, etc.