If r is the radius of circular base of cone, l is the slant height of the cone and h if the height of the cone then the volume of cone is given by,.The cone is the three dimensional figure having flat surface as well as curved surface pointed towards the top as shown in figure.Volume of a triangular prism Base area × Height of the prism. V o l u m e o f t r i a n g u l a r p r i s m 1 2 b h l. The picture below illustrates the triangular prism which will help in deriving the formula. Volume of cylinder = area of spherical base*height= π*r 2*h The space occupied by the triangular prism is the volume of the triangular prism.If r is the radius of circular base of the cylinder and h is the height of the cylinder then its volume is given by,.It is the solid bounded by a cylindrical surface and two parallel planes.If l is length, b is the breadth and h is the height of the cuboid then its volume is given by,.
The cuboid is the three dimensional figure as shown in figure having six faces and having length, breadth and height also which are all different in length also.Let a be the side of cube then the volume of cube is given by,.Cube is the three dimensional object as shown in figure which is special cuboid having length, breadth and height and all are equal for cube and having 6 faces.We have an air balloon, it has also specific volume and the gas filled inside it occupies the volume of that balloon.įollowing are the some three dimensional geometrical shapes with their volume: Volume of Cube:.Then first we have to know the volume of that water bottle which is cylindrical in shape. If we are drinking water daily by water bottle and if we have to know what amount of water we has drunk daily.If we have a pot which is spherical in shape and we have to fill it by water, then what amount of water would be required? This can be solved by finding the volume of that spherical pot.Not only solids, but also liquids and gases possesses volume in which shape of object we have poured them. meter cube, centimeter cube or in litre also. By using these basic shapes volume we can find the volume of any body.
There are some specific geometrical shapes like cube, cone, cylinder, sphere which are having their fixed volume. Example 4: A building is in the shape of a triangular prism. In real life we daily go through the concepts of volume. V B × h Formula for the volume of a prism 96 l × b × h Formula for the area of a rectangle replace V with 96 96 4 × 3 × h Substitute values of l and b 96 12 × h Simplify 8 h Divide each side by 12 The height of the popcorn bag is 8 inches. According to the dimension of body it occupies the different volumes. Volume is space occupied by the object in three dimension. Every three dimensional object possesses volume in space.
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