two cubes have their volumes in the ratio 8:125. what is the ratio of their surface areas?
Volume of a cube whose side is l units is
.
Total surface area of a cube whose side is l units is
]
It is given that the ratio of the volume of two cubes is
Let the side of the first cube be and that of thye other be .
Thus,
Taking cube root on both sides,
Now, squaring both the sides,
Multiply the numerator and denominator by 6 on both the sides.
Thus, the ratio of the surface areas of the two cubes is