Question

A diagonal of a cube measures 30 inches. The diagonal of a face measures 600 SQUARE ROOTED inches. In inches, what is the length of an edge of the cube? Round the answer to the nearest tenth. HOW MANY? inches

Answer 1

The correct answer is 17.3

Explanation:

Let me know if it helped you

Answer 2

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