The length of each edge of a cube was made 5 times larger.How much larger did the volume become?
Question
The length of each edge of a cube was made 5 times larger.How much larger did the volume become?
Solution
The volume of a cube is calculated by the formula: V = a^3, where a is the length of an edge.
If the length of each edge of a cube is made 5 times larger, the new length becomes 5a.
So, the new volume V' = (5a)^3 = 125a^3.
Therefore, the volume of the cube becomes 125 times larger.
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