Question

The diagram shows a net of a solid. Write down the mathematical name of the solid.

Answer 1

Hint: Net of a solid is the two dimensional shape of the solid which can be converted into the three dimensional solid. Count the number of triangles and the number of rectangles given in the figure because these will be the faces of the solid. With that will be able to guess the solid.

Complete step-by-step answer:
Let us first understand what is meant by net of a solid.
Net of a solid is the two dimensional shape of the solid which can be converted into the three dimensional solid. We can also say that a net of a three dimensional solid is a figure formed when we unfold the solid by opening up its edge and laying it down on a flat plane.
The simplest example to understand this is of a cylinder that is open from both its ends. Meaning, it has only the curve surface. Now, we cut the cylinder along its length once and open it up, the fat shape that we will obtain is a rectangle. The rectangle is the net of a cylinder that is open from both the ends.
In the given figure, we can see that there are two triangles and three rectangles. From this, we can understand that the three dimensional solid of this net has two triangular faces (opposite to each other) and three rectangular faces (adjacent to each other).
The mathematical name of this type of solid is triangular prism.

Note: The easiest way to obtain a three dimensional solid from the given net of that solid is by folding the flat figure around the edges and trying to obtain a closed surface.
In this case, we can make one of the triangles (say the above one) as the base of the solid. Then lift the figure up by keeping the triangle fixed. Then close the figure completely to obtain a triangular prism.