Question

question 4 of 25
which of the following terms correctly describe the figure given below?
check all that apply.
a. polyhedron
b. solid
c. pyramid
d. polygon
e. prism
f. cube

Explanation:

• Polyhedron: A polyhedron is a 3 - D shape with flat polygonal faces. The given figure has flat faces (triangular and a base polygon), so it is a polyhedron.
• Solid: A solid is a 3 - D object. The figure is a 3 - D object, so it is a solid.
• Pyramid: A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex. The given figure has a polygonal base (assume it is a polygon) and triangular lateral faces that meet at a point (vertex), so it is a pyramid.
• Not a polygon: A polygon is a 2 - D shape. The given figure is 3 - D, so it is not a polygon.
• Not a prism: A prism has two congruent polygonal bases and rectangular lateral faces. The given figure has triangular lateral faces (not rectangular) and does not have two congruent bases (a prism has two bases, this has one base for the pyramid part), so it is not a prism.
• Not a cube: A cube has 6 square faces. The given figure does not have 6 square faces, so it is not a cube.

Answer:

A. Polyhedron, B. Solid, C. Pyramid