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

Mathematics

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Answer

Success💗🎀🥹, let's figure out these dimensions for the packaging net.

Step-by-step solution

2 steps

The problem asks to use the 3D sketch and "given specifications" to fill in the missing dimensions. However, the "given specifications" with numerical values are not visible in the provided image. Therefore, I will identify what each labeled dimension (1, 2, 3, 4) represents in terms of the general dimensions of a rectangular prism (Length, Width, Height).

Let's define the dimensions of the 3D sketch:

  • Length (L): The longest horizontal dimension of the box.
  • Height (H): The vertical dimension of the box.
  • Width (W): The shorter horizontal dimension (depth) of the box.
  1. Analyze the net and relate it to the 3D sketch.

    The net shows a central strip of four rectangles, which form the four sides of the prism. The rectangles attached to the top and bottom of this strip (or to the sides, as in the case of 3 and 4) form the top, bottom, and end faces.

  2. Identify what each labeled dimension represents.

    • 1: This dimension represents the length of one of the main faces in the central horizontal strip. This corresponds to the Length (L) of the 3D box.
    • 2: This dimension represents the height of one of the main faces in the central horizontal strip. This corresponds to the Height (H) of the 3D box.
    • 3: This dimension represents the width of the flap attached to the left side of the central strip. This flap forms one of the end faces of the box. This corresponds to the Width (W) of the 3D box.
    • 4: This dimension represents the width of the flap attached to the right side of the central strip. This flap forms the other end face of the box. This corresponds to the Width (W) of the 3D box.

    Since the numerical specifications are not provided, the answers are:

    1. Length
    2. Height
    3. Width
    4. Width
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