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A cuboid has dimensions of length 10 cm, width 5 cm and height 8 cm. A cube with side length 5 cm is cut out from one of the faces of the cuboid. What is the remaining volume of the cuboid?

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  1. 225 cm3
  2. 200 cm3
  3. 250 cm3
  4. 275 cm3

Answer (Detailed Solution Below)

Option 4 : 275 cm3
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Detailed Solution

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Given:

Length of cuboid = 10 cm

Width of cuboid = 5 cm

Height of cuboid = 8 cm

Side length of cube = 5 cm

Formula Used:

Volume of cuboid = Length × Width × Height

Volume of cube = Side3

Remaining volume = Volume of cuboid - Volume of cube

Calculation:

Volume of cuboid = 10 × 5 × 8 = 400 cm3

Volume of cube = 53 = 125 cm3

Remaining volume = 400 - 125

⇒ Remaining volume = 275 cm3

The remaining volume of the cuboid is 275 cm3.

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