The edge of the first cube is 2cm, and the edge of the second is 3 times the edge

The edge of the first cube is 2cm, and the edge of the second is 3 times the edge of the first cube. Find the ratio of the volume of the second cube.

1. By the condition of the problem, the edge of the first cube is 2 cm.

Let’s find its volume.

By definition, the volume of a cube is equal to the cube of the length of its edge.

V1 = 2 * 2 * 2 = 8 cm3.

2. It is known that the edge of the second cube is 3 times larger than the edge of the first.

Let’s find the length of its edge.

2 * 3 = 6 cm.

3. Let’s calculate the volume of the second cube.

V2 = 6 * 6 * 6 = 216 cm3.

3. Determine the ratio of the volume of the first cube to the second.

To do this, we will find the quotient of the found values.

8/216 = 1/27.

Answer: The ratio of the volume of the first cube to the volume of the second is 1/27.