# Surface Areas and Volumes

## Surface area of an object is the measurement of the areas of all its visible faces. If a cuboid has following dimensions, Length of the cuboid = l units Breadth of the cuboid = b units Height of the cuboid = h units Then, Surface area of the cuboid = 2(lb + bh + hl) units2 Let the edge of the cube be a units. Then, Surface area of the cube = 6a2 units2 If the radius of the base of a cylinder is r units and height h units, then If a cone has a circular base of radius r units and height h units, then If radius of a sphere is equal to r units, then If radius of a hemisphere is equal to r units, then Volume is the measurement of the space occupied in three dimensions namely length, breadth and height of an object. Volume of the solid figure/object = area of the base x height Volume of the cuboid = l x b x h cubic units, where l, b and h are the length, breadth and height of the cuboid respectively. Volume of the cube = a3 cubic units, where a is the edge of the cube, , where r and h are radius and height of the cylinder respectively. , where r and h are radius and height of the cone respectively. , where r is the radius of the sphere. , where r is the radius of the hemisphere.

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