Three-Dimensional Thinking

When faced with a complex or difficult to draw figure, don’t let your artistic skills hold you back. Make a sketch and give yourself the best chance to figure out exactly what needs to be calculated.

Question of the Day

A cube is placed inside a sphere of diameter , such that all 8 corners of the cube touch the inside surface of the sphere. What is the length of the side of the cube?

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If you struggled with this question, remember that you can substitute real values for the sides of the cube or the diameter of the sphere and then try to solve. Often working with values instead of variables is enough to make sense of what’s there!

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