2023 · Q75
An ice cube with 10 cm side is divided into eight smaller cubes, each with side 5 cm. Which one of the following statements is correct in this context?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- ATotal volume will increase and total surface area will increase.
- BTotal volume will decrease and total surface area will decrease.
- CTotal volume will remain the same and total surface area will increase.
- DTotal volume will increase and total surface area will remain the same.
Explanation
Dividing the cube does not change the total amount of material, so total volume stays the same (8 x 125 = 1000 cubic cm). The original surface area is 6 x 100 = 600 sq cm, while the eight small cubes have 8 x 6 x 25 = 1200 sq cm, so total surface area increases. Hence (c) is correct.