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AMO 2027 Grades 6-7 SET 16 - Self-study Question 8

AMO · AMO 2027 Grades 6-7 SET 16 - Self-study

Question 8

If the height of a cube is increased by 3cm, it will become a cuboid (rectangular box) and the total surface area will be increased by 72cm². What is the volume of the cube?


A. 27cm³

B. 64cm³

C. 125cm³

D. 216cm³

E. 343cm³

**Editorial note for this self-study exercise:** Enter the volume in cubic centimeters as a number, rather than an option letter. Only the height changes; the base remains the original square.