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The height of the cube (crate) is: 4.16 feet
27 cubic ft
The volume of a cube with seven feet is 7x7x7 or 343 cubic feet.
cubic feet is not a measure of height, but instead is volume. If you have a cube that is 2 feet long on each side, the volume is 2X2X2 = 8 cubic feet.
The volume of a rectangular prism is length times width times height, or "V=lwh". Since all of the sides of a cube are the same, 4, "V=4x4x4", or 64 cubic feet.