Juan has a sandbox and wants to double the length, width and height. If the original box holds 1 cubic foot of sand, how many more feet of sand must be added to fill up the new box.

Juan must add a volume of 7 cubic feet for the enlarged sandbox.How much sand must we add to an enlarged sandbox?The volume occupied by the sandbox (V), in cubic feet, is represented by the volume formula for a parallelpiped:V = w · l · hWhere:w - Width, in feetl - Length, in feeth - Height, in feetJuan wants to know the additional amount of sand required for the enlarged sandbox. If we know that the initial volume is equal to a cubic foot and each length is double, then we find that the resulting volume for sandbox is:V' = (2 · w) · (2 · l) · (2 · h)V' = 8 · (w · l · h)V' = 8 · VV = 8 ft³The addition of sand is found by the following subtraction:ΔV = V' - VΔV = 8 ft³ - 1 ft³ΔV = 7 ft³An additional volume of 7 cubic feet is needed for the sandbox.To learn more on volumes: https://brainly.com/question/1578538#SPJ1