# Ready-To-Use Mensuration Class 6 Notes, MCQs and Extra Questions & Answers

Premium class 6 Mensuration - Notes, Extra Questions and Answers and MCQs

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Mensuration class 6 formulas.

1. Perimeter of a rectangle = 2(length + width)
2. Area of a rectangle = length x width
3. Perimeter of a square = 4 x side
4. Area of a square = side x side (or) side²
5. Perimeter of a triangle = sum of the lengths of all sides
6. Area of a triangle = 1/2 x base x height
7. Circumference of a circle = 2πr (where π is approximately equal to 3.14 and r is the radius of the circle)
8. Area of a circle = πr² (where π is approximately equal to 3.14 and r is the radius of the circle)
9. Volume of a cube = side x side x side (or) side³
10. Surface area of a cube = 6 x side²
11. Volume of a rectangular prism = length x width x height
12. Surface area of a rectangular prism = 2lw + 2lh + 2wh

Mensuration class 6th important questions with answers

1. What is the perimeter of a square with a side of 7 cm?

Solution: The perimeter of a square is given by the formula P = 4s, where s is the length of the side. Therefore, the perimeter of a square with a side of 7 cm is: P = 4 x 7 = 28 cm

1. What is the area of a rectangle with a length of 12 cm and a width of 8 cm?

Solution: The area of a rectangle is given by the formula A = l x w, where l is the length and w is the width. Therefore, the area of the rectangle with a length of 12 cm and a width of 8 cm is: A = 12 x 8 = 96 cm²

1. What is the perimeter of a triangle with sides of 5 cm, 7 cm, and 9 cm?

Solution: The perimeter of a triangle is given by the sum of its sides. Therefore, the perimeter of the triangle with sides of 5 cm, 7 cm, and 9 cm is: P = 5 + 7 + 9 = 21 cm

1. What is the area of a circle with a radius of 5 cm?

Solution: The area of a circle is given by the formula A = πr², where r is the radius of the circle. Therefore, the area of the circle with a radius of 5 cm is: A = π x 5² = 78.5 cm² (approx.)

1. What is the volume of a cube with an edge of 4 cm?

Solution: The volume of a cube is given by the formula V = s³, where s is the length of the edge. Therefore, the volume of the cube with an edge of 4 cm is: V = 4³ = 64 cm³

1. What is the surface area of a rectangular prism with dimensions 6 cm x 4 cm x 3 cm?

Solution: The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism. Therefore, the surface area of the rectangular prism with dimensions 6 cm x 4 cm x 3 cm is: SA = 2(6 x 4) + 2(6 x 3) + 2(4 x 3) = 72 cm²

FAQs

1. What is mensuration? Mensuration is the branch of mathematics that deals with the study of the measurement of geometric figures such as lengths, areas, and volumes.

2. What are the basic geometrical shapes used in mensuration? The basic geometrical shapes used in mensuration are the circle, rectangle, square, triangle, and cube.

3. What is the difference between perimeter and area? Perimeter is the distance around the boundary of a two-dimensional shape, while area is the amount of space enclosed within the boundaries of the shape.

4. How do you find the perimeter of a shape? The perimeter of a shape is the sum of the lengths of all its sides. For example, to find the perimeter of a rectangle, you add the length and width of the rectangle and then multiply by 2: perimeter = 2(length + width).

5. How do you find the area of a shape? The area of a shape depends on its type. For example, the area of a rectangle is calculated by multiplying its length and width: area = length x width. The area of a circle is calculated by multiplying π (pi) by the radius squared: area = πr².

6. What is volume? Volume is the amount of space occupied by a three-dimensional object. It is measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

7. How do you find the volume of a shape? The volume of a shape depends on its type. For example, the volume of a cube is calculated by multiplying the length of one of its edges three times: volume = edge length³. The volume of a cylinder is calculated by multiplying π (pi) by the radius squared and then by the height: volume = πr²h.

8. What is surface area? Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is measured in square units, such as square centimeters (cm²) or square meters (m²).

9. How do you find the surface area of a shape? The surface area of a shape depends on its type. For example, the surface area of a rectangular prism is calculated by multiplying the sum of the areas of all its faces: surface area = 2lw + 2lh + 2wh. The surface area of a sphere is calculated by multiplying 4 by π (pi) and then by the radius squared: surface area = 4πr²

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