Mark the right statements.
1. The lateral surfaces of a pyramid are triangles with a common vertex.
2. A pyramid is a special case of a prism.
3. Volume of a pyramid = $$\frac{1}{3}$$​× base area × vertical height
4. Volume of a prism = $$\frac{1}{2}$$​ × base area × height

1.   The lateral surfaces of a pyramid are triangles with a common vertex.

o    True. In a pyramid, the lateral surfaces are triangular faces that converge at the apex (common vertex).

2.      A pyramid is a special case of a prism.

o    False. A pyramid and a prism are distinct shapes. A prism has two parallel and congruent bases, while a pyramid has a single base with lateral faces converging to a vertex.

3.      Volume of a pyramid = $$\frac{1}{3} \times \text{base area} \times \text{vertical height}.$$​​

o    True. This is the correct formula for the volume of a pyramid.

4.      Volume of a prism = $$\frac{1}{2} \times \text{base area} \times \text{height}$$​​

o    False. The correct formula for the volume of a prism is: Volume of a prism = $$\text{base area} \times \text{height}.$$​​

Thus, statements 1 and 3 are correct.