The volume of a cuboid is 21 cubic units. Its length, width and height are all different positiveintegers. The sum of its length, width and height is:
Question
The volume of a cuboid is 21 cubic units. Its length, width and height are all different positiveintegers. The sum of its length, width and height is:
Solution
The volume of a cuboid is given by the formula: Volume = Length * Width * Height.
Given that the volume is 21 cubic units and all dimensions are different positive integers, we need to find the factors of 21. The factors of 21 are 1, 3, 7, and 21.
Since the dimensions are all different, we can't use 1 or 21 as they would require one of the other dimensions to be the same. So, the dimensions of the cuboid must be 3, 7, and 1.
Therefore, the sum of the length, width, and height of the cuboid is 3 + 7 + 1 = 11.
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