Please HELP

A diagonal of a cube measures 30 inches. The diagonal of a face measures StartRoot 600 EndRoot inches.

In inches, what is the length of an edge of the cube? Round the answer to the nearest tenth.

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Hi There the correct answer to this is The diagonal of a cube is the square root of 3x^2, where x is a side of lengthThe three dimensional diagonal is the counterpart to the two the dimensional hypotenuse found in a right triangle...mathematically a three dimension diagonal can be found with an extension of the Pythagorean Theorem adapted to the three dimensions...

d^2=x^2+y^2+z^2  but since we are dealing with a cube, x=y=z=s where s is a side lenght...

d^2=3s^2  and we are told that the diagonal is 30 in. so

3s^2=30^2

3s^2=900

s^2=300

s=√300

s=10√3 in.  exact

s≈17.3 in.  (to the nearest tenth of an inch)

Hope it helps!

f is the midpoint of