In order to find the dimensions of the cube, we must first find the volume.
Volume = mass/density
= 20.00g /2.70 g/mL
= 7.41 mL OR 7.41cm3
1 mL is equal to 1 cm3, making these 2 units interchangeable.
To find the lengths of the sides, we are going to use the volume we found in the first equation above. Since the sides of a cube are all equal, we must find the cube root of the volume.
Volume = length x width x depth (thickness or density)
cube root of 7.41 is about 1.95
Volume = 1.95cm x 1.95cm x 1.95cm