Question

Which of the following is not a prism?
A) Parallelepiped
B) Cuboid
C) Cube
D) Cylinder

Answer 1

Hint:
Here, we are asked to find the shape that cannot make a prism.
A prism is a solid three-dimensional object that has identical shapes at both the ends, flat faces and has the same cross-sectional area throughout and it has all flat faces.
Then, draw the figures of the shapes given in the options and find out which shapes satisfy the properties of the prism.
Thus, find the shape which cannot satisfy the properties of prism and choose the correct option.

Complete step by step solution:
Here, we are asked to find the shape that cannot make a prism.
To find that, firstly, we need to understand what a prism is.
The definition of a prism is stated as “A solid three dimensional object that has identical shapes at both the ends, flat faces and has the same cross sectional area throughout”. Also, a prism is always a polyhedron, which means all the faces of a prism are flat.
So, we will find out how the given shapes are made and see whether they have flat faces.
The shape given in option (A) is parallelepiped. The three dimensional figure of parallelepiped is shown on the figure below.

It is clear from the diagram that parallelepiped has all flat faces and has the same cross sectional area throughout. Thus, parallelepiped satisfies the properties of the prism.
So, parallelepiped can be used to make a prism.
Now, let us check for option (B) i.e. cuboid.
The three dimensional figure for cuboid is as given below.

It is clear from the diagram that cuboid has all flat faces and has the same cross sectional area throughout. Thus, cuboid also satisfies the properties of the prism.
Let us check for option (C) now i.e. cube. The three dimensional figure of the cube is as given below.

It is clear from the diagram that the cube has all flat faces and has the same cross sectional area throughout. Thus, the cube also satisfies the properties of the prism.
Now, let us check the same for option (D) i.e. cylinder. The three dimensional figure for cylinder is as given below.

It can be seen in the above diagram that the shapes at the ends are identical but the face is curved. So, cylinders cannot be used to make a prism.

Thus, option (D) is the correct answer.

Note:
Some types of prism:
1) Cube:

2) Cuboid:

3) Triangular:

4) Parallelepiped: