The edge of the first cube is 2 cm, and the edge of the second is 3 times the edge of the first cube.
| May 25, 2021 | education
The edge of the first cube is 2 cm, and the edge of the second is 3 times the edge of the first cube. Find the ratio of the volume of the cube to the volume of the second cube.
Let’s find the volume of the first cube.
V1 = a1 ^ 3 = 2 ^ 3 = 8 cm ^ 3.
Find the length of the edge of the second cube.
a2 = 3 * a1 = 3 * 2 = 6 cm.
Find the common of the second cube.
V2 = a2 ^ 3 = 6 ^ 3 = 216 cm ^ 3.
Let’s find the ratio of the volume of the first cube to the volume of the second cube.
V1 / V2 = 8/216 = 1/27.
Answer: the ratio of the volume of the first cube to the volume of the second cube is 1/27.
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