Question 9
In mathematics, Figure 1 is called Menger Sponge. The construction of Menger
Sponge is described as follows:
1. Begin with a cube.
2. Sub-divide the cube into 27 smaller cubes (Figure 2)
3. Remove the smaller cube in the middle of each face, and remove the
smaller cube in the very center of the larger cube, leaving 20 smaller cubes
(Figure 1).
If the surface area of the cube (Figure 2) in Step 1 is 216 cm?, what is the
=) surface area of Menger Sponge (Figure 1)?
Eee S| Lo
Figure 1 Figure 2
Sponge is described as follows:
1. Begin with a cube.
2. Sub-divide the cube into 27 smaller cubes (Figure 2)
3. Remove the smaller cube in the middle of each face, and remove the
smaller cube in the very center of the larger cube, leaving 20 smaller cubes
(Figure 1).
If the surface area of the cube (Figure 2) in Step 1 is 216 cm?, what is the
=) surface area of Menger Sponge (Figure 1)?
Eee S| Lo
Figure 1 Figure 2