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Develop the surface of the object below

Mathematics

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Step-by-step solution

3 steps
  1. Identify the object.

    The image shows a cube with a side length of 50 mm50 \text{ mm}.

  2. Understand "develop the surface".

    To "develop the surface" means to draw the net of the object. A net is a 2D pattern that can be folded to form a 3D shape. A cube has 6 identical square faces.

  3. Describe the net of the cube.

    The net of a cube consists of 6 squares, each with sides of 50 mm50 \text{ mm}. A common way to arrange these squares is in a cross shape:

    • Four squares are arranged in a row.
    • One square is attached above the second square in the row.
    • One square is attached below the second square in the row.

    The dimensions of each square face are 50 mm×50 mm50 \text{ mm} \times 50 \text{ mm}.
    The overall dimensions of this specific net arrangement would be:

    • Length: 4×50 mm=200 mm4 \times 50 \text{ mm} = 200 \text{ mm}
    • Width: 3×50 mm=150 mm3 \times 50 \text{ mm} = 150 \text{ mm} (This is the width of the central column of three squares)

    The net of the cube is composed of six 50 mm×50 mm50 \text{ mm} \times 50 \text{ mm} squares arranged in a pattern that can be folded into a cube.

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