DSQ: Calculating the diagonal of a cube - GMAT Quantitative

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Question

is a cube. What is the length of diagonal ?

(1) The area of a face of the cube is .

(2) The length of is .

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Answer

To know the diagonal HB of the cube, we need to have information about the length of the edges of the cube. Knowing the area of a face would allow us to find the length of an edge; therefore statement 1 alone is sufficient.

Statment 2 alone is sufficient as well since the length of a diagonal of a square is given by , where is the length of a side of the square and ultimately we can find the length of an edge of the square.

Therefore each statement alone is sufficient.

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