Show me how to draw it step by step

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

To draw the composite shape, you'll draw two cuboids, one on top of the other. Here are the steps:

  1. Draw the bottom cuboid.

    • First, draw a rectangle for the front face of the bottom cuboid. Let its width be 4 units and its height be 4 units (representing 4 cm×4 cm4 \text{ cm} \times 4 \text{ cm}).
    • From each corner of this rectangle, draw a short diagonal line segment going backwards and slightly upwards (or downwards, consistently). These lines represent the depth (3 cm3 \text{ cm}). Make them parallel and of equal length.
    • Connect the ends of these diagonal lines to form the back face of the bottom cuboid.
  2. Draw the base of the top cuboid.

    • Locate the center of the top face of the bottom cuboid.
    • The top cuboid has a width of 3.5 cm3.5 \text{ cm} and a depth of 1.5 cm1.5 \text{ cm}. Since it's centered on the bottom cuboid's top face (4 cm4 \text{ cm} wide, 3 cm3 \text{ cm} deep), there will be an overhang.
    • On the top face of the bottom cuboid, draw a smaller rectangle for the base of the top cuboid. This rectangle should be 3.5 units wide and 1.5 units deep, centered on the larger top face.
  3. Add height to the top cuboid.

    • From each corner of the smaller rectangle you just drew (the base of the top cuboid), draw a vertical line segment upwards. These lines represent the height (1.5 cm1.5 \text{ cm}). Make them parallel and of equal length.
  4. Complete the top cuboid.

    • Connect the tops of these vertical lines to form the top face of the smaller cuboid.
  5. Refine the drawing.

    • Erase any lines that would be hidden from view by the front parts of the shape to make it look solid.
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