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## CBSE Class 6 Mensuration Worksheet

The Mensuration chapter in CBSE Class 6 is about learning to measure the perimeter and area of different shapes like rectangles, squares, and triangles. This topic is important because it helps build a strong foundation for future math studies. According to the **CBSE syllabus** and the **NCERT textbook**, students learn how to calculate these measurements step-by-step.

Using a **mensuration class 6 worksheet** can be very helpful for students. These worksheets provide lots of practice problems that help students understand and remember what they learn in class. A **class 6 mensuration worksheet with answers** is even better because it lets students check their work and learn from any mistakes. For convenience, a **mensuration class 6 worksheet with answers pdf** is available, so students can download and practice at any time.

Teachers and parents can use these worksheets to see how well students are doing and what areas they might need more practice in. Regularly working on a **mensuration worksheet class 6** helps students stay on track with the **CBSE syllabus** and prepares them well for exams. These **worksheets** support the lessons in the **NCERT textbook** and provide extra practice to ensure students understand the material.

## Overview of Mensuration Class 6 Maths

### Introduction to Mensuration

**Mensuration** is the branch of mathematics that deals with the measurement of length, area, and volume of various geometric shapes. It covers both 2D and 3D shapes.

### Perimeter

**Perimeter**is the total length or distance covered along the boundary of a closed shape.- Formulas for perimeter:
- Square: Perimeter = 4 × side length
- Rectangle: Perimeter = 2 × (length + width)
- Triangle: Perimeter = sum of all side lengths
- Regular polygon: Perimeter = number of sides × length of one side

### Area

**Area**is the total surface enclosed by a closed figure.- Formulas for area:
- Square: Area = side × side
- Rectangle: Area = length × width
- Triangle: Area = 1/2 × base × height

- For irregular shapes, the area can be found by dividing the shape into simpler geometric shapes and calculating their individual areas.

### Mensuration of 3D Shapes

- 3D shapes have height/depth in addition to length and width.
- Common 3D shapes include cube, cuboid, cylinder, cone, and sphere.
- Formulas to find volume and surface area of these 3D shapes are covered.

The NCERT Solutions and practice questions provided in the search results cover these mensuration concepts in detail for CBSE Class 6 students. Practicing the exercises and examples is key to mastering this chapter.

## Mensuration Class 6 Worksheet with Answers

Here are the mensuration exercise worksheet class 6 with answers:

### Mensuration Class 6 Worksheet 1

**Find the Perimeter:**- a) A rectangle with length 8 cm and width 5 cm.
- b) A square with side length 6 cm.
- c) A triangle with sides 3 cm, 4 cm, and 5 cm.

**Find the Area:**- a) A rectangle with length 10 cm and width 4 cm.
- b) A square with side length 7 cm.

**Word Problems:**- a) If a garden is in the shape of a rectangle with a length of 15 meters and a width of 10 meters, what is the perimeter of the garden?
- b) A square playground has a side length of 20 meters. What is the area of the playground?
- c) A rectangular classroom has a length of 12 meters and a width of 8 meters. What is the area of the classroom?

**Mixed Problems:**- a) Find the perimeter of a rectangle with length 9 cm and width 7 cm.
- b) Calculate the area of a square with side length 5 cm.
- c) If a triangle has sides of 6 cm, 8 cm, and 10 cm, what is its perimeter?

#### Answers

**Find the Perimeter:**- a) Rectangle: Perimeter = 2 × (Length + Width) = 2 × (8 cm + 5 cm) = 2 × 13 cm = 26 cm
- b) Square: Perimeter = 4 × Side = 4 × 6 cm = 24 cm
- c) Triangle: Perimeter = Sum of all sides = 3 cm + 4 cm + 5 cm = 12 cm

**Find the Area:**- a) Rectangle: Area = Length × Width = 10 cm × 4 cm = 40 cm²
- b) Square: Area = Side × Side = 7 cm × 7 cm = 49 cm²

**Word Problems:**- a) Rectangle garden: Perimeter = 2 × (Length + Width) = 2 × (15 m + 10 m) = 2 × 25 m = 50 m
- b) Square playground: Area = Side × Side = 20 m × 20 m = 400 m²
- c) Rectangle classroom: Area = Length × Width = 12 m × 8 m = 96 m²

**Mixed Problems:**- a) Rectangle: Perimeter = 2 × (Length + Width) = 2 × (9 cm + 7 cm) = 2 × 16 cm = 32 cm
- b) Square: Area = Side × Side = 5 cm × 5 cm = 25 cm²
- c) Triangle: Perimeter = Sum of all sides = 6 cm + 8 cm + 10 cm = 24 cm

### Understanding Elementary Shapes Class 6 Worksheet 2

**Fill in the Blanks:**- a) The perimeter of a square with side length 8 cm is _______.
- b) The area of a rectangle with length 12 cm and width 5 cm is _______.
- c) The perimeter of a triangle with sides 4 cm, 6 cm, and 8 cm is _______.

**True or False:**- a) The perimeter of a rectangle is calculated by adding the lengths of all four sides.
- b) The area of a square is found by multiplying the length of one side by itself.
- c) The perimeter of a triangle is always three times the length of one side.

**Multiple Choice Questions (MCQs):**- a) What is the area of a square with side length 10 cm?
- 20 cm²
- 50 cm²
- 100 cm²
- 150 cm²

- b) If a rectangle has a length of 8 cm and a width of 3 cm, what is its perimeter?
- 11 cm
- 16 cm
- 22 cm
- 24 cm

- c) What is the perimeter of a rectangle with length 9 cm and width 7 cm?
- 16 cm
- 26 cm
- 32 cm
- 40 cm

- a) What is the area of a square with side length 10 cm?
**Descriptive Questions:**- a) Explain how to find the perimeter of a rectangle.
- b) Describe the steps to calculate the area of a square.
- c) Why is it important to learn about mensuration in Class 6?

**Word Problems:**- a) A rectangular park has a length of 50 meters and a width of 30 meters. What is the perimeter of the park?
- b) A square garden has a side length of 15 meters. What is the area of the garden?
- c) A rectangular swimming pool has a length of 25 meters and a width of 10 meters. What is the area of the pool?

#### Answers

**Fill in the Blanks:**- a) The perimeter of a square with side length 8 cm is
**32 cm**. - b) The area of a rectangle with length 12 cm and width 5 cm is
**60 cm²**. - c) The perimeter of a triangle with sides 4 cm, 6 cm, and 8 cm is
**18 cm**.

- a) The perimeter of a square with side length 8 cm is
**True or False:**- a) True
- b) True
- c) False (The perimeter of a triangle is the sum of the lengths of all three sides, not necessarily three times one side.)

**Multiple Choice Questions (MCQs):**- a) 3. 100 cm²
- b) 3. 22 cm
- c) 2. 32 cm

**Descriptive Questions:**- a) To find the perimeter of a rectangle, add the lengths of all four sides. This can be done using the formula: Perimeter = 2 × (Length + Width).
- b) To calculate the area of a square, multiply the length of one side by itself. The formula is: Area = Side × Side.
- c) Learning about mensuration is important because it helps us understand how to measure different shapes and spaces, which is useful in everyday life for things like planning, building, and understanding spaces.

**Word Problems:**- a) Perimeter of the park = 2 × (Length + Width) = 2 × (50 m + 30 m) = 2 × 80 m = 160 m
- b) Area of the garden = Side × Side = 15 m × 15 m = 225 m²
- c) Area of the pool = Length × Width = 25 m × 10 m = 250 m²

**Chapter 1 – Knowing our numbers****Chapter 2- Whole numbers****Chapter 3- Playing with numbers****Chapter 4- Basic Geometrical Ideas****Chapter 5- Understanding Elementary Shapes****Chapter 6- Integers****Chapter 7- Fractions****Chapter 8- Decimals****Chapter 9- Data Handling****Chapter 10- Mensuration****Chapter 11- Algebra****Chapter 12- Ratio and Proportions**

## Mensuration Class 6 Worksheet with Answers PDF

Here is the downloadable mensuration class 6 worksheet pdf: