Question

Which one of the following will form a net for the tetrahedron.

A)

B)

C)

D)

Answer 1

Hint:
We know that A tetrahedron is a 3-d pyramid with a triangular base. Hence to find its net, we have to open the tetrahedron from a vertex and spread the vertex until all the vertices come in the same plane. After making the net by opening the topmost vertex of the tetrahedron, We will compare it by the choices given to get our final answer.

Complete step by step solution:
We know that a tetrahedron is a 3-d pyramid with a triangular base. This can be seen by the given figure:

According to the figure, the topmost vertex is A.

Hence, we will now open the figure through vertex A

Since the vertex A is connected through three edges, Hence the vertex will be divided into three vertices and then the vertices would be brought at the same plane,

Hence, the final figure would be:

Now as we compare the predicted figure with the given choices,

We can easily say that it matches the figure given in C

Hence, the final answer is C.

Note:
In this question, we must expand the topmost vertex in a way that the face triangles do not get distorted to get the correct answer. If the figure is distorted while bringing all the vertex to the same plane, the figure would no longer represent a tetrahedron and Hence our answer would be incorrect.