Final answer:
The formula for the length of a diagonal of a cube is √3*side. If each edge of the cube is 12.7 cm, the length of a diagonal of the cube going through the center is approximately 22 cm.
Step-by-step explanation:
In Mathematics, special formulas exist for finding the diagonals in three-dimensional objects like a cube. The formula to calculate the length of a diagonal of a cube going through the center of the cube is √3 * side. Here, the length of each edge of the cube is given as 12.7 cm. So to find the diagonal we use the formula:
Diagonal = √3 * side
= √3 * 12.7 cm
= approximately 22 cm (when rounded off to the nearest whole centimeter).
So, the length of a diagonal of the cube going through the center of the cube is 22 cm.
Learn more about Cube Diagonal