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Mathematics 18 Online
OpenStudy (anonymous):

l = 8, w = 4, h = 2

OpenStudy (anonymous):

OpenStudy (anonymous):

Find the diagonal (d) of the base.

OpenStudy (mathstudent55):

You need d in the figure below. |dw:1436682883871:dw|

OpenStudy (mathstudent55):

Let's look at the base from the top. |dw:1436682985749:dw|

OpenStudy (mathstudent55):

The diagonal of the base is the hypotenuse of a right triangle. You need to use the Theorem of Pythagoras: \(a^2 + b^2 = c^2\) In your case, use \(l^2 + w^2 = d^2\) Solving for d, you get: \(d = \sqrt{l^2 + w^2} \) Just use the length and width given for \(l\) and \(w\) in the formula above, and calculate \(d\).

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