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Example Questions
Example Question #11 : Cubes
Ron is making a box in the shape of a cube. He needs to know how much wood he needs. Find the surface area of the box.
I) The diagonal distance across the box will be equivalent to .
II) Half the length of one side is .
Either statement is sufficient to answer the question.
Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.
Both statements are needed to answer the question.
Neither statement is sufficient to answer the question. More information is needed.
Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.
Either statement is sufficient to answer the question.
To find the surface area of a cube, we need the length of one side.
Statement I gives the diagonal, we can use this to find the length of one side.
Statement II gives us a clue about the length of one side; we can use that to find the full length of one side.
The following formula gives us the surface area of a cube:
Use Statement I to find the length of the side with the following formula, where is the diagonal and
is the side length:
So, using Statement I, we find the surface area to be
Using Statement, we get that the length of one side is two times two:
Again, use the surface area formula to get the following:
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