From a square plate with each side 7 cm. squares of area 0.25 cm2 are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ____ cm3

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RRC Group D Previous Paper 11 (Held On: 3 Oct 2018 Shift 1)
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  1. 21
  2. 16
  3. 18
  4. 20

Answer (Detailed Solution Below)

Option 3 : 18
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F1 Gayathry Mohan 2-4-2021 Swati D1

Side of the square = 7 cm

Area of each small square which cut out from the plate = 0.25 cm2

Side of the each smaller square which cut out from the plate = √0.25 = √(0.5 × 0.5) = 0.5 cm

If remaining plate folded along the cuts to form a cuboid, then

Length of the cuboid = 6 cm

Breath of the cuboid = 6 cm

Height of the cuboid = 0.5 cm

As we know, volume of the cuboid = lbh

Volume of the cuboid = 6 × 6 × 0.5 = 18 cm3
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