Answer:
1. The base is a square.
2. Its dimensions are 3 by 3 (or 3 x 3).
3. Their faces are triangles. (Not too sure if this correct as the wording of the question is a little confusing.)
4. The base of each triangle measures 3 cm.
5. The height of each triangle measures 4 cm.
6. The polyhedron is a cube.
Explanation:
1. The question says to draw a net for the square pyramid. From there we already have our answer for the base.
2. It is a general rule that all sides of a square are equal. Hence, if one side is measured to be 3 cm, so will the rest.
3. This one is clear by sight, you can clearly recognize that the rest of the shapes are triangles. If not, you can also deduce this from the instructions saying that is a square pyramid. According to byjus.com, "A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex."
4. The side of the square is 3 cm. However, the triangle's base must be equal to this in order to form the pyramid and connect with the other triangles and square. We can also see this fact from the diagram, as the base of the triangle and the side of the square are the same.
5. The diagram points out that the height of the triangle is 4 cm. This is the only measurement left in the diagram, so it is likely to be the correct answer. Otherwise, this would be very difficult to solve.
6. If you contruct the net together, you will find that it forms a cube. We can also notice that there are 6 squares shown, and the cube is a 6-sided polyhedron. I have experience with forming paper cubes from my previous math classes, so I can confidently confirm that is a cube. If you still have doubts though, you may also research the net of a cube.
Hopefully this helped you out with your problem! I've answered this based from my own knowledge so please let me know if I misunderstood anything in the questions.