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Net of a solid

Draw the net of the solid (pyramid) with radius 2 and height 7 u. State the number of faces and the total surface.

Step-by-step solution

  1. Unfold the faces onto a plane without overlapping.
  2. Each face is in true size and joined to the next by an edge.
  3. Check that the width of the lateral net equals the perimeter of the base.
  4. The sphere is not developable: it has no flat net.

Result: 5 pieces; total surface 48.4 u².

The cylinder unfolds into a rectangle of base 2πr plus two circles; the cone into a circular sector of radius equal to the generator.

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