Answer:
the volume of the cube will be 44 cm³ or D (nearest whole number)
Explanation:
A cube has equal size of edges. Since it has a face diagonal of 5cm then using Pythagoras theorem s²+ s²= 5², where s is the side of the cube.
Therefore, 2s²=25
s²= 12.5
s = √12.5 = 3.536 cm
The volume of a cube is s³ (s×s×s) = 3.536³= 44.212 cm³,