General
General
Easy

Question

On a particular day, the rain fall recorded on a terrace 6 m long and 5 m broad is 15 cm. Find the quantity of wat er collected on the terrace.

hintHint:

  • A cuboid is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are rectangles.
  • Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds. Volume of a cuboid = length cross times width cross times height.
  • 1m cubed = 1,000 L

The correct answer is: Quantity of water collected on the terrace is 4.5 m3 or 4,500 L


    Step-by-step solution:
    From the given information, we get- Terrace is in the shape of a cuboid.
    We need to find the quantity of water collected in the terrace with the given dimensions.
    ∴ Volume of the given cuboidal terrace = Length cross times  breadth cross times height
    ∴ Volume of the given cuboidal terrace = 6m cross times 5mcross times15 over 100 m ............................ (1m = 100 cm)
    ∴ Volume of the given cuboidal terrace = 4.5 m cubed.
    or Volume of water collected = (4.5 cross times1,000) l = 4,500 L.
    ∴ Quantity of water collected on the terrace is 4.5 m cubed or 4,500 L.

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