1
Question
An ice-cube tray is 33 cm long and 11 cm wide. If Gita wants to make ice cubes of equal length and breadth, what is the greatest dimensions of ice cubes she can make such that they fit perfectly into the tray?
An ice-cube tray is 33 cm long and 11 cm wide. If Gita wants to make ice cubes of equal length and breadth, what is the greatest dimensions of ice cubes she can make such that they fit perfectly into the tray?
Open in App
Solution
The correct option is D 11 cm
The length and width of the tray are 33 cm and 11 cm, respectively.
We need to calculate the GCD of these two dimensions to get the largest possible dimensions for the ice cubes.
The prime factorization of 33 is: 3 × 11
The prime factorization of 11 is: 11
Thus, the greatest common divisor of 33 and 11 is 11.
Hence, the ice cubes should have length and breadth equal to 11 cm.
Additionally, the number of ice cubes she would be able to make: 33 ÷ 11 = 3
The length and width of the tray are 33 cm and 11 cm, respectively.
We need to calculate the GCD of these two dimensions to get the largest possible dimensions for the ice cubes.
The prime factorization of 33 is: 3 × 11
The prime factorization of 11 is: 11
Thus, the greatest common divisor of 33 and 11 is 11.
Hence, the ice cubes should have length and breadth equal to 11 cm.
Additionally, the number of ice cubes she would be able to make: 33 ÷ 11 = 3
Suggest Corrections
1
