Surface Areas and Volumes

Surface Areas and Volumes

Points to be Remember:-

1. A cuboid is a figure in space, formed by three pairs of opposite

    congruent rectangular faces, such that whenever two faces meet,

    they meet in a line segment.

2. A cuboid has 6 faces, 12 edges and 8 vertices.

3. The part of the space enclosed by a cuboid is called its interior.

4. A cuboid along with its interior is called a cuboidal region.

5. The length, breadth and height of a cuboid are called its three

     dimensions.

6. A cuboid whose length, breadth and height of a cuboid are called a 

    cube.

7. The magnitude or measure of a space (solid) region is called its

     volume.

8. A cubic centimeters is the volume of the region formed by a cube

    of side ( or edge ) 1 cm.

9. With usual meaning for V, I, b and h

     (i) Surface area of a cuboid = 2 (lb + bh + hl)

     (ii) Surface area of a cube = 6l²

    (iii) Lateral surface area of a cuboid = 2 (l + b)h

    (iv) Volume of a cuboid (V) = l x b x h

    (v) Volume of a cube (V) = l³

10. Standard units of volume

       (i) 1m³ = 1000000cm³ = 100³cm³

       (ii) 1cm³ = 1000mm³ = 10³mm³

      

       (iii) 1cm³ = 1000l = 1kl

       (iv) 1m3 = 1000l = 1kl