A cube of marble with 3 cm sides is cut into 27 cubes with 1 cm sides. How does the total surface area change?
- Large cube: surface area = 6 × 3 × 3 = 54 cm2.
- One small cube: surface area = 6 × 1 × 1 = 6 cm2.
- 27 small cubes: total surface area = 27 × 6 = 162 cm2.
- 162 ÷ 54 = 3, so the surface area is three times larger and the marble reacts faster.
Answer: The total surface area becomes three times larger (54 cm2 to 162 cm2).