Mathematics
Mathematics
Problem
A solid cube has volume . One face of the cube is used to make a square metal plate of the same area. Find the length of the diagonal of the metal plate, correct to one decimal place.Intuitive explanation
The key is to work backwards from volume to find the side length of the cube, then use that to find the face area. Once you know the square plate's dimensions, the diagonal of a square with side is simply —a relationship that comes straight from the Pythagorean theorem applied to the square's geometry.
Intuitive explanation
The key is to work backwards from volume to find the side length of the cube, then use that to find the face area. Once you know the square plate's dimensions, the diagonal of a square with side is simply —a relationship that comes straight from the Pythagorean theorem applied to the square's geometry.