MathematicsThree dimensions of cuboid are , and . Draw an isometric sketch of this cuboid and hence find the volume of the cuboid.

Three dimensions of cuboid are , and . Draw an isometric sketch of this cuboid and hence find the volume of the cuboid.


  1. A
    20 cm3
  2. B
    60 cm3
  3. C
    64 cm3
  4. D
    125 cm3 

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    Solution:

    The volume of cuboid,
    Where,
    = Length of the cuboid
    = breadth of the cuboid
    = Height of the cuboid
    It is given that three dimensions of the cuboid are , and .
    We need to first draw an isometric sketch of this cuboid and hence find out the volume of the cuboid.
    An isometric drawing is a type of drawing that is set out using degree angles. It’s a type of axonometric drawing in which the same scale is used for every axis, resulting in a non-distorted image.
                  Here,
    = Length of the cuboid = = breadth of the cuboid = = Height of the cuboid = Using the formula of the volume of cuboid we have,
    The volume of cuboid,                Therefore, the volume of a cuboid is .
     
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