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

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**Mensuration class 6 formulas.**

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

**Mensuration class 6th important questions with answers**

**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

**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

**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

**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.)

**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

**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**

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