Respuesta :
The length of an edge or side length of the cube is 11.5 cm if the diagonal of a cube is 20 cm option (d) is correct.
What is a cube?
It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a cube.
The diagonal of a cube is 20 cm.
Let a be the side length of the cube.
As we know, from the Pythagoras theorem we can calculate the length of the face diagonal.
Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.
Length of a face diagonal = √2a
Length of body diagonal = √3a
√3a = 20 (given)
a = 20/√3
a = 20/1.732
a = 11.5 cm
Thus, the length of an edge or side length of the cube is 11.5 cm if the diagonal of a cube is 20 cm option (d) is correct.
Learn more about the cube here:
brainly.com/question/15420947
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