## anonymous one year ago l = 8, w = 4, h = 2

1. anonymous

2. anonymous

Find the diagonal (d) of the base.

3. mathstudent55

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

4. mathstudent55

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

5. 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 $$d$$.