Maths-
General
Easy

Question

Find the height of a cuboid whose base area is 180cm2 and volume is 900cm2

  1. 9 cm 
  2. 10 cm
  3. 5 cm
  4. 3 cm

hintHint:

 Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces. Therefore, the volume is a measure based on the dimensions of these faces, i.e. length, width and height. It is measured in cubic units.

The correct answer is: 5 cm


    Volume of cuboid = Base area × Height  [Cubic units]
    The base of the cuboid is rectangle in shape. So, the base area of a cuboid is equal to the product of its length and breadth. Hence,
    Volume of a cuboid = length × breadth × height    [cubic units]
    or
    Volume of a cuboid = l × b × h    [cubic units]
    Where,
    • l = length
    • b = breadth
    • h = height
    We have given that,
    Base area of cuboid = length × breadth = 180 cm²
    Volume of cuboid = length × breadth × height = 900 cm³
    • We will get,
    Volume of a cuboid = Base area of cuboid × height of the cuboid
    900 cm³ = 180 cm² × height
    • On dividing both sides by 180 we get,
    height = 900 over 180 = 5 cm
    Thus, the height of the cuboid is 5 cm.
    The correct option is c) 5 cm .

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