An open Blog with tentative solutions and discussion of GMAT questions
Blogue para afixar e discutir a resolução de exercícios do GMAT
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Friday, February 17, 2006
PS - cube volume to surface relation
If a cube has a volume of 64, what is its total surface area?
Since the volume is the side length to the third power, we get the side by the cubic root of 64. This operation is not easy, but normally in GMAT you will get an integer result. So you may go by trial and error. Try 3 and you'll get 3x3x3=27. Nops. Try 4 and you'll get 4x4x4=64 - Bingo! If the side is 4, each face o f the cube has an area of 4x4=16. The cube has 6 faces (remember the dice!) so the total exposed area will be 16x6=96, leading to the correct answer (E).
Since the volume is the side length to the third power, we get the side by the cubic root of 64. This operation is not easy, but normally in GMAT you will get an integer result. So you may go by trial and error. Try 3 and you'll get 3x3x3=27. Nops. Try 4 and you'll get 4x4x4=64 - Bingo! If the side is 4, each face o f the cube has an area of 4x4=16. The cube has 6 faces (remember the dice!) so the total exposed area will be 16x6=96, leading to the correct answer (E).
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