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An ice cube with 10 cm side is divided into eight smaller cubes, each with same side. Which one of the following statements is correct in this context ?
Total volume will increase and total surface area will decrease.
Total volume will decrease and total surface area will increase.
Total volume will remain the same and total surface area will increase.
Total volume will increase and total surface area will remain the same.
Let's analyze the scenario:
- Original Cube: A 10 cm side results in a volume of 103 = 1000 cm3 and a surface area of 6 * 102 = 600 cm2.
- New Cube Volume: 8 smaller cubes each with volume 125 cm3 because 1000 cm3/8 = 125 cm3.
- Therefore, each side of the smaller cubes is 5 cm
- New Surface Area: Each smaller cube has a surface area 6 * 52 = 150 cm2, totaling 8 * 150 = 1200 cm2.
The total volume remains the same, but the total surface area increases.
Option 3 (Total volume will remain the same and total surface area will increase) is the correct choice
By: santosh ProfileResourcesReport error
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