3-D shapes (Faces, names of different prisms and pyramids): แบบฝึกหัด

What is the total number of faces of a heptagonal pyramid (a pyramid with a 7-sided base)?

A specific 3-D shape is a octagonal pyramid. How many faces does it have in total?

A 3-D shape is a prism. It has a total of \(18\) vertices. What is the total number of faces this prism has?

A prism has two hexagonal bases. What is the correct name of this 3-D shape?

A certain 3-D shape is a pentagonal prism. What is the total number of its faces and vertices?

A 3-D shape is a heptagonal pyramid. How many vertices does it have in total?

A specific prism has a total of \(21\) edges. How many faces does this prism have in total?

A 3-D shape has 2 identical octagonal bases and several rectangular lateral faces. What is the name of this 3-D shape?

Consider the properties of 3-D shapes and the specific relationships between the number of sides of their bases and their other features.

a) A certain prism has a base with n sides. Write down the expressions for the number of faces, vertices, and edges it has in terms of n.

b) If a specific prism has exactly 18 edges, determine the name of this prism and calculate the total number of faces it has.

c) A pyramid has the same number of vertices as the prism described in part (b). How many edges does this pyramid have?