A net is a pattern made when the surface of a 3-D figure is laid out flat, showing each face of the figure. A solid may have different nets.
Practice makes perfect
Let's consider the given 3-D figure.
In the figure, we can see that we are missing the slant height. To find it, we can use the Pythagorean Theorem, where the slant height l is the hypotenuse. The height and apothem of the pyramid are the legs of the triangle. Remember that the apothem is half of the pyramid's side length.
60m/2 = 30mLet's use these given values to solve for l.
When solving the above equation, we kept the principal root. This is because l is the slant height of the pyramid and therefore it must be positive. Let's add this information to our diagram.
Now, we must find the measure of the lateral edge. To find it, we can use again the Pythagorean Theorem. In this case, the lateral edge is the hypotenuse. The slant height and the half of the side of the base of the pyramid are the legs of the triangle.
Let a be the half of one of the sides of the base of the pyramid and c the lateral edge. Then we solve for c.
Let's recall that a net is a pattern made when the surface of a 3-D figure is laid out flat showing each face of the figure. A solid may have different nets. Since we know that the lateral edge is about 58.3 meters, we can draw the net for the given figure.
