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26 Oct 2010, 09:07
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D
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(1) The surface area of the cube is 600 square inches
(2) The length of diagonal AB is \(10\sqrt{3}\) inches
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26 Oct 2010, 09:28
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What is the volume of the cube above?
Let the side of the cube be \(x\), then the volume will be \(volume=x^3\)
(1) The surface area of the cube is 600 square inches --> surface area of a cube equals to {area of a face} * {# of faces} --> \(surface \ area=x^2*6=600\), --> \(x=10\)--> \(volume=x^3=1,000\). Sufficient.
(2) The length of diagonal AB is \(10\sqrt{3}\) inches --> diagonal of a cube equals to \(Diagonal=\sqrt{x^2+x^2+x^2}=x\sqrt{3}=10\sqrt{3}\) (x^2+x^2=square of a diagonal of a face and square of a diagonal of a face plus square of a side equals to diagonal of a cube) --> \(x=10\)--> \(volume=x^3=1,000\). Sufficient.
Answer: D.
Let the side of the cube be \(x\), then the volume will be \(volume=x^3\)
(1) The surface area of the cube is 600 square inches --> surface area of a cube equals to {area of a face} * {# of faces} --> \(surface \ area=x^2*6=600\), --> \(x=10\)--> \(volume=x^3=1,000\). Sufficient.
(2) The length of diagonal AB is \(10\sqrt{3}\) inches --> diagonal of a cube equals to \(Diagonal=\sqrt{x^2+x^2+x^2}=x\sqrt{3}=10\sqrt{3}\) (x^2+x^2=square of a diagonal of a face and square of a diagonal of a face plus square of a side equals to diagonal of a cube) --> \(x=10\)--> \(volume=x^3=1,000\). Sufficient.
Answer: D.
General Discussion
Updated on: 26 Oct 2010, 09:37
Originally posted by ankitranjan on 26 Oct 2010, 09:19.
Last edited by ankitranjan on 26 Oct 2010, 09:37, edited 2 times in total.
Last edited by ankitranjan on 26 Oct 2010, 09:37, edited 2 times in total.
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For volume of a cube ,we need to know the side of the cube as Volume of the cube is l^3 where l is side of the cube.
From (1)surface area is given means 6l^2 is given which is sufficient to get the value of l^3
From(2) length of diagonal l*sqrt(3) is given which is sufficient to get the value of l^3
Hence answer is D.
Consider giving KUDOS if it is helpful to u.
From (1)surface area is given means 6l^2 is given which is sufficient to get the value of l^3
From(2) length of diagonal l*sqrt(3) is given which is sufficient to get the value of l^3
Hence answer is D.
Consider giving KUDOS if it is helpful to u.
