Question

What is the value of F + V – E for a hexagonal prism?
a. 5
b. 1
c. 4
d. 2

Answer 1

Hint: In order to solve this question, we should know that F, V and E represents the number of faces, number of vertices and number of edges respectively of any 3D shape. By using these terms, we can find the answer to this question.

Complete step-by-step answer:
In this question, we have been asked to write the value of F + V – E for a hexagonal prism. To solve this question, we should know that F, V and E represents the number of faces, number of vertices and number of edges respectively of any 3D shape.
We can represent a hexagonal prism as follows.

From the figure, we can see that the number of faces of a hexagonal prism are 8, the number of vertices are 12 and the number of edges are 18.
So, we can write that, F + V – E for a hexagonal prism as follows.
F + V – E = 8 + 12 – 18
Now, we will simplify it to get the value of F + V – E, so we will get,
20 – 18 = 2
Hence, we can say that F + V – E for a hexagonal prism is equal to 2.
Therefore, option (d) is the correct answer.

Note: While solving this question, we should know that faces, vertices and edges of any figure are as shown below.

Also, in this question, there is a possibility that we may consider the number of faces as 6 instead of 8, by considering only the side faces and we may forget to include the top and the bottom faces. So, this must be noted and hence we must solve the question very carefully.