3 d figures, its surface areas and volumes

1. 3-D Figures, Its Surface Areas And Volumes

2. A cuboid is a 3-d shape in which all angles are  right angles , and opposite faces are  equal . Cuboid

3. Lateral Surface area The lateral surface area of a cuboid is 2h( l+b ) , i.e. ,2 x height x sum of length and breadth Surface area The surface area of a cuboid is 2( lb+bh+hl ) , i.e. , 2 x (length x breadth + breadth x height + height x length) Surface area of Cuboids

4. Volume of cuboid is lbh , i.e. , length x breadth x height Volume of Cuboid

5. A  cube  is a  three-dimensional  solid object bounded by six  square  faces,  facets  or sides, with three meeting at each  vertex . The cube can also be called a  regular   hexahedron  and is one of the five  Platonic solids . Cube

6. Lateral Surface area The lateral surface area of cube is 4a 2 Surface area The surface area of cube is 6a 2 Surface area of Cube

7. Volume of cube is a 2 Volume of cube

8. A  cylinder  is one of the most basic curvilinear geometric shapes, the  surface  formed by the points at a fixed distance from a given  line segment , the  axis  of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. Cylinder

9. Lateral surface area The lateral surface area of cylinder is 2 π rh Surface area The surface area of cylinder is 2 π r( r+h ) Surface area of Cylinder

10. Volume of cylinder is π r²h Volume of Cylinder

11. A  cone  is a 3- dimensional   geometric shape  that tapers smoothly from a base (usually flat and circular) to a point called the  apex  or vertex. In common usage in elementary  geometry , cones are assumed to be  right circular , where  right  means that the axis passes through the centre of the base (suitably defined)  at right angles  to its plane, and  circular  means that the base is a  circle . Cone

12. Lateral surface area Lateral surface area of cone is π rl Surface area Surface area of cone is π r( l+r ) Surface area of Cone

13. Volume of cone is 1/3 π r² h Volume of cone

14. A  sphere is a perfectly round  geometrical  object in  three-dimensional space , such as the shape of a round  ball . Like a  circle , which is in two dimensions, a sphere is the set of points which are all the same distance  r  from a given point in space. This distance  r  is known as the  radius  of the sphere, and the given point is known as the  center  of the sphere. The maximum straight distance through the sphere is known as the  diameter . It passes through the center and is thus twice the radius. Sphere

15. Total surface area of sphere is 4 π r² Surface area of sphere

16. The volume of a sphere is 4/3 π r 3 Volume of sphere

17. A sphere is divided into two equal "hemispheres" by any plane that passes through its center. If two intersecting planes pass through its center, then they will subdivide the sphere into four  lunes or bi-angles, the vertices of which all coincide with the antipodal points lying on the line of intersection of the planes. Hemisphere

18. Curved surface area The curved surface area of Hemisphere is 2 π r 2 Surface area The total surface area of hemisphere is 3 π r 2 Surface area of hemisphere

19. The volume of hemisphere is 2/3 π r 3 Volume of Hemisphere

20. THE END