Question

PLS HELP T-T

You meet an artist who makes sculptures out of Platonic solids. Being an excellent

geometer who knows how to use nets to create solid figures, you are intrigued and

want to make your own models.

1. Which combined solid did you select?

Answer 1

When selecting a combined solid for your sculptures, you can choose from various Platonic solids such as the tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

Step-by-step explanation:

When considering a composite solid for sculptural endeavors, one can opt for various Platonic solids.

These are characterized by being regular, convex polyhedra with congruent faces and angles. The selection includes five distinct Platonic solids:

Tetrahedron: A solid featuring four equilateral triangle faces.

Cube: A solid composed of six square faces.

Octahedron: A solid with eight equilateral triangle faces.

Dodecahedron: A solid exhibiting twelve pentagon faces.

Icosahedron: A solid comprised of twenty equilateral triangle faces.

Utilizing nets, which are flat patterns foldable into solid shapes, one can create any of these Platonic solids.

The incorporation of these unique and aesthetically pleasing combined solids adds a dynamic and engaging dimension to sculptural works.

Answer 2

One example of a combined solid that can be used to make sculptures out of Platonic solids is the stellated dodecahedron.

Step-by-step explanation:

When selecting a combined solid to make sculptures out of Platonic solids, you could choose a compound of multiple Platonic solids. One example of a combined solid is the stellated dodecahedron, which is created by extending the faces of a regular dodecahedron to form new triangles. This results in a star-like shape with twelve pentagonal faces.