Question

Which of the following terms correctly describe the figure given below?

Answer 1

Option (a), (d) and (f) are correct.

The given figure is a Prism, Polyhedron and solid.

Explanation:

Given: A figure.

We have to choose the terms from the given options that correctly describes the given figure.

Since, The given figure is having both base and top as triangle.

Thus, When a figure having identical base and top and same cross section along its length , then it is a prism.

A three dimensional figure having length, width and height is called solid figures.

When a figure having polygons (two dimensional figures) on its faces, then it is called polyhedron.

So, the given figure is a Prism, Polyhedron and solid.

Answer 2

A Prism

D Solid

F Polyhedron*

Explanation:

The figure appears to be a solid with parallel congruent triangular "bases" and rectangular faces.

Solid naming

A solid with congruent parallel faces (bases) joined by rectangular faces is called a "prism." The name of the prism matches the name of the parallel congruent faces. Here, we have a "triangular prism."

A "cube" is a rectangular prism with six (6) congruent square faces.

A "pyramid" is a solid with a polygon base and triangular faces that meet at a point opposite the base. The base of each triangular face is one side of the base polygon.

A "solid" is any 3-dimensional object that fills the space it occupies. That is, it has no empty space inside.

A "polygon" is a planar shape created from line segments joined end-to-end in a closed loop. A "simple" polygon has edges that do not cross.

A "polyhedron" is a solid with plane simple polygon faces joined at the edges.

Figure shown

The figure shown qualifies as a solid triangular prism. Its descriptors are ...

• A. Prism
• D. Solid
• F. Polyhedron*

_____

* By one definition, a polyhedron has "typically more than 6" plane faces bounded by polygons and joined at the edges. This figure has 5, so could be argued not to have enough faces to qualify as a polyhedron.