An architect designs a museum with a floor that has five sides. The lateral faces of the building are tranigle. The museum has the shape of which solid figure?

The museum has the shape of a pentagonal pyramid

Step-by-step explanation:

we know that

If the base has five sides, then the base is a pentagon

If the lateral faces are triangles, then the solid is a pyramid

The pyramid with pentagonal base, has a base with five sides (pentagonal base) and five lateral triangular faces

so

The museum has the shape of a pentagonal pyramid