No, they cannot.
A square has 4 sides that are equal. To find the area of a square, we multiply its length and width; since they are the same, we are basically squaring that side.
A=s²
To find the side if we know the area, we work backward and take the square root:
√169=√s²
13=s
The side length is 13 in.
A cube has the same length, width, and height. To find the volume of a cube, we multiply these 3 measurements; since they are the same, we are basically cubing the side length:
V=s³
We know the volume is 1728, so we have:
1728=s³
To work backward, we take the cubed root:
∛1728=∛s³
12=s
The side length of the cube would have to be 12; a 13 in side would not work.
