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The diagram shows the net of a packaging structure with some information/dimensions missing. Use the 3D sketch and the given specifications to fill in all the missing dimensions of the net.

Mathematics

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Step-by-step solution

4 steps

To fill in the missing dimensions, we first define the dimensions of the 3D rectangular prism shown in the sketch.

Let:

  • LL be the length of the box (the horizontal dimension of the front face, which has the circular hole).
  • WW be the width of the box (the depth from front to back).
  • HH be the height of the box (the vertical dimension).

Now, we match these dimensions to the numbered blanks on the net:

  1. Identify dimension 1.

    Dimension 1 represents the width of the top face of the box.
    Therefore, dimension 1 is the width (WW).

    1. W\boxed{1. \ W}
  2. Identify dimension 2.

    Dimension 2 represents the length of a side face when unfolded. This corresponds to the depth of the box.
    Therefore, dimension 2 is the width (WW).

    2. W\boxed{2. \ W}
  3. Identify dimension 3.

    Dimension 3 represents the vertical dimension of the main central panel, which is the front face of the box.
    Therefore, dimension 3 is the height (HH).

    3. H\boxed{3. \ H}
  4. Identify dimension 4.

    Dimension 4 represents the height of the small gluing flap at the end of the net. This flap's height must match the height of the box.
    Therefore, dimension 4 is the height (HH).

    4. H\boxed{4. \ H}
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