Question 6 - Figure it out - Page 63, 64 - Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)

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Question 6 The length, width, and height of a box are 12 cm, 18 cm, and 36 cm respectively. Which of the following sized cubes can be packed in this box without leaving gaps? (a) 9 cm (b) 6 cm (c) 4 cm (d) 3 cm (e) 2 cmThe side of the cube must divide the length, width, and height exactly. Thus, we need a common factor of 12, 18, and 36 We can find the common factors from Shortcut method Using Shortcut Method Thus, HCF of 12, 18, 36 = 6 Since we can write 6 = 2 × 3 Thus, 2, 3 and 6 are the common factors of 12, 18, 36 So, Option (b) – 6 cm Option (d) – 3 cm Option (e) – 2 cm Are the sizes of the cubes which can be packed