Mensuration Worksheet for Class 6 with Answers – CBSE /ICSE/NCERT

Mensuration class 6 worksheet – CBSE /ICSE/NCERT

This worksheet is for class 6 maths, comprising the topic of mensuration. It will help students develop a better understanding of mensuration such as area and perimeter. 

The worksheet completion will make the students easily comprehend the following:

1. Define Mensuration.
2. What are the types of mensuration?
3. Distinguish between Geometry and Mensuration.

What is Mensuration?

1. Define Mensuration. 

Mensuration meaning:  Mensuration is a mathematical concept that entails calculating areas, perimeters, and volumes of various geometrical objects, among other things. These shapes are either two dimensional or three. Therefore, we learn to calculate the areas, perimeters and volumes of these 2D and 3D shapes. We do so by using mathematical formulae and algebraic equations. 

As such, mensuration is the discipline of geometry concerned with the measurement of sides and volumes. It covers the basics and characteristics of numerous figures and shapes. 

For example, mensuration can determine the length of a cloth needed for sewing or the size of a wall to paint or the amount of water required to fill a tank.

2. What are Mensuration types?

Mensuration is of two types:

• 2D Mensuration

2D figures have only two dimensions, which are primarily length and width because height (or depth) does not exist in a 2D figure. For 2D figures, only areas can be calculated, but not volume. In 2D figures, sides are made up of straight lines, i.e. x-axis and y-axis. 

Some 2D figures are: 

• • Square 
  • Rectangle
  • Circle 
  • Triangles 
  • Parallelogram

• 3D Mensuration

In 3D figures, length, breadth, and height (or depth) are the three dimensions. Certain examples of 3D figures in our daily life are pencils, cylinders, books, and many more. Since 3D shapes occupy space, so they have an area and volume. The three dimensions of 3D shapes are the x-axis, y-axis, and z-axis. 

Some 3D figures are:

• • Cube 
  • Cuboid 
  • Cylinder 
  • Sphere
  • Cone

3. Distinguish between Geometry and Mensuration.

Mensuration

Mensuration is the study of the qualities and relationships of points and lines of various shapes, whereas geometry is the computation of several parameters of forms such as perimeter, area, volume, and so on.

Geometry

Geometry is a branch of mathematics that deals with the angles, forms, sizes, and dimensions of a broad variety of things that we see in our daily lives. Mensuration is a notion in geometry. The size, area, and density of distinct 2D and 3D shapes are all considered in mensuration.

Browse the video on Mensuration

Mensuration Worksheet for Class 6 with Answers

I) Fill in the blanks:

1. Perimeter is also known as ______ of the boundary.
2. With all sides, 6 cm, the area of a square is______.
3. If the perimeter of a square carom-board is 480 cm, then each side length is______.
4. _______ is the length of each side of a square if its area is 196 cm2.
5. With each side 12cm, perimeter of triangle is _______.

II) True or False

1. A normal octagon with a side of 5 cm has a perimeter of 40 cm.
2. When the side of a square is doubled, the area of the square is likewise doubled.
3. To build a compound wall around a house, an engineer must first figure out the compound’s size.
4. To determine the cost of painting a wall, we must first determine the wall’s perimeter.
5. To determine the cost of a photo frame, we must first determine the picture’s perimeter.

III) Find the perimeter of the following figure:

1.

2.

3.

ANSWER

I)

1. 1. Length
   2. 36 cm²
   3. 120 cm
   4. 14 cm
   5. 36 cm

II)

1. True
2. False
3. False
4. False
5. True

III)

1. 24 cm
2. 28 cm
3. 24 cm

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