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The net of a rectangular prism and its dimensions as boxes connected to it in centimeters are shown.

Box 1 at the top is 4cm
Box 2 at the left side is 6cm and 4cm
Box 3 at the bottom is 9 cm
Box 4 at the right side is 6 cm and 9 cm

1 answer

To understand the dimensions of the rectangular prism given the description of the boxes connected around it in the net, let’s analyze the information provided.

  1. Box 1 (Top): 4 cm

    • This likely indicates the length of the top face of the prism.

  2. Box 2 (Left Side): 6 cm and 4 cm

    • This suggests that the left face of the prism has a height of 6 cm and a width corresponding to the top face (4 cm).

  3. Box 3 (Bottom): 9 cm

    • This indicates the width of the bottom face of the prism, which corresponds to the bottom length of the top face.

  4. Box 4 (Right Side): 6 cm and 9 cm

    • This indicates that the right face has a height of 6 cm (matching the left face height) and a width of 9 cm (which likely corresponds to the bottom face width).

Determined Dimensions:

  • Height (h): 6 cm (from boxes 2 and 4).
  • Length (l): 9 cm (from box 3, which corresponds to the length of the bottom face).
  • Width (w): 4 cm (from box 1, as it corresponds to the width of the top face).

Thus, the dimensions of the rectangular prism are:

  • Length = 9 cm
  • Width = 4 cm
  • Height = 6 cm

If you need further explanation or a different angle on this, feel free to ask!