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4 cubed = 64. So the cube is 4x4x4.Answer:We know that the volume of a cube = Side3 cubic centimeters.Given that the volume of the cube is 64 cubic centimeters.We need to find the dimensions of the cube.Side3 = 64Side3 = 43Side = 4 centimeters.Source: www.icoachmath.com
To increase the volume by a factor of 'X', the linear dimensions have to beincreased by a factor of (cube root of x).Cube root of 2 = 1.26 (rounded)So, make the box (2.52) x (7.56) x (5.04) .Volume of the original box = (2 x 6 x 4) = 48 .Volume of the new box = (2.52 x 7.56 x 5.04) = 96.018 (rounded)
Any one dimension increased by 2, or any two dimensions increased by the square root of 2 orall three dimensions increased by the cube root of 2.
Any one dimension increased by 3, or any two dimensions increased by the square root of 3 or all three dimensions increased by the cube root of 3.
If the box is a cube (all sides perfectly square) then you take the cube root of 9261 and you'll get 21".Check: 21" x 21" x 21" = 9261 cubic inches.If the box has rectangles for sides, then the combinations are limitless.