The volume of one cube is 125 times the volume of another cube. How many times is its square larger
| June 16, 2021 | education
The volume of one cube is 125 times the volume of another cube. How many times is its square larger than the area of the second cube?
The volume of one cube is equal to:
V2 = a ^ 3.
The volume of another cube, by condition, is: V1 = 125 * a ^ 3 = (5 * a) ^ 3.
It can be seen that in the other cube its side is 5 times smaller than in the first one.
The area of a cube is calculated by the formula:
S = 6 * a ^ 2.
Then if the edge is increased 5 times, then the area will increase 5 ^ 2 = 25 times.
Answer: The area of the second cube is 25 times larger.
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