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CTET 7 Feb 2026 Paper 1, Question 39

Topic: Volume and capacity

Q39

The internal length, breadth and height of a cuboidal box are 12 cm, 10 cm and 8 cm, respectively. A cubical box has side (internal) 9 cm. Avin tries to pack 1800 cubical dice of side 1 cm each in these two boxes. The number of dice which are left unpacked is :

  1. (1) 111Correct answer
  2. (2) 121
  3. (3) 123
  4. (4) 129

Solution.

CBSE answer: (1)

Answer: (1) 111

  1. Cuboidal box holds 12×10×8=96012 \times 10 \times 8 = 960 dice of 1 cm side.
  2. Cubical box holds 9×9×9=7299 \times 9 \times 9 = 729 dice.
  3. Together: 960+729=1689960 + 729 = 1689 dice.
  4. Unpacked: 1800−1689=1111800 - 1689 = 111.