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The edge length of a cube is the measurement of one of its sides, which are all equal in length. It is the distance between two adjacent vertices of the cube. If the volume of a cube is known, the edge length can be calculated using the formula ( a = \sqrt[3]{V} ), where ( a ) is the edge length and ( V ) is the volume. For example, if a cube has a volume of 27 cubic units, its edge length would be 3 units.

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3w ago

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To find the length of one edge of the cube, you would calculate the cube root of the volume. In this case, the cube root of 150 cubic centimeters is approximately 5.3 centimeters. Therefore, the length of one edge of the cube is 5.3 centimeters.


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The volume of a cube is directly related to the length of its edge through the formula ( V = a^3 ), where ( V ) is the volume and ( a ) is the edge length. This means that if you increase the edge length, the volume increases exponentially, specifically by the cube of the edge length. For example, doubling the edge length results in an eightfold increase in volume. Thus, the edge length and volume are intrinsically linked through this cubic relationship.


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