APPSC Group-I Prelims 2019 Paper II · Question 25

Question 25 of the APPSC Group-I Prelims 2019 Paper II (26 May 2019). Try it first, then open the answer and explanation.

1. Prelims 2019 · P-II · Q25 · Mental Ability & Reasoning · Arithmetic

   A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes ?

   ఒక 5 సె.మీ క్యూబ్ ఎన్ని 1 సె.మీ క్యూబులుగా కత్తిరించ గలరో. అందులో పెద్దదైన క్యూబ్ ఉపరితల ఏరియా చిన్న క్యూబ్ లతో పోలిస్తే ఎంత కాగలదు ?

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   Answer: 1 : 5

   సమాధానం: 1 : 5

   The big cube's surface area is 6 × 5² = 150 cm². It gives 5³ = 125 small cubes with total area 125 × 6 = 750 cm². 150 : 750 = 1 : 5.

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