 # Mensuration

## Perimeter: It is the distance around the boundary of a closed plane figure. Area: Area of a closed plane figure is the region covered by it. The sum of areas of all the faces of a cuboid is its total surface area. The space occupied by a solid body is called its volume. Two dimensional figures can be identified as the faces of three dimensional shapes. Solid shapes are the three dimensional shapes. On the basis of sides, diagonals, interior angles and the angle between the diagonals, quadrilateral can be categorized as rhombus, parallelogram, rectangles etc. A three-dimensional figure that has six rectangular faces is called cuboid. A quadrilateral with one pair of parallel sides is known as trapezium. A three dimensional figure formed when a rectangular sheet is rolled along its length or breadth is called cylinder. Cube is a cuboid whose all the edges are equal. A quadrilateral having all equal sides is called rhombus. Area of a triangle: ½(base X height) Area of a parallelogram = Base x Height Or, = Base x Altitude Area of a Trapezium: = ½ (sum of parallel sides) x height Surface area of the cube = 6l2 Surface area of the cuboid = 2(lb + bh + hl) Surface area of cylinder = 2∏rh Volume of a cube = side3 Volume of a cuboid = (length X breadth X height) Volume of a cylinder = ∏r2h

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