The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?
Answer Details
The ratio of the sides of the two cubes is 2:5. Let us assume that the length of the sides of the first cube is 2x, then the length of the sides of the second cube will be 5x, since the ratio of their sides is 2:5.
The volume of the first cube will be (2x)^3 = 8x^3, and the volume of the second cube will be (5x)^3 = 125x^3.
The ratio of the volumes of the two cubes will be:
Volume of the first cube : Volume of the second cube
= 8x^3 : 125x^3
= 8 : 125
Therefore, the ratio of their volumes is 8:125.
Hence, the correct answer is "8:125".