Question

Which of the solid figures can be made with this net?

A) Prism
B) Square pyramid
C) Cylinder
D) None of these

Answer 1

Hint:
Here, we are asked to find out what shape of the given options, will the given net construct. To do so, we need to construct the shapes of the given options. Then, find out the basic shapes used to create the given shape. Thus, compare the resultant shapes by the given net and choose the correct answer.

Complete step by step solution:
To find out what shape can be made from the given net, we first need to discuss how the given shapes from the options can be constructed using basic shapes.
So, let us first construct a prism and then identify the basic shapes used to construct the prism.

It is clear from the figure that a prism is constructed using 3 rectangles and 2 triangles.
The given shapes in the net do not match the basic shapes of the prism. So, the given net must not form a prism.
Now, we will construct the shape of the pyramid using basic shapes.

It is clear from the figure that the square pyramid is constructed using square and 4 triangles.
Here, the given net has the same shapes as the pyramid. So, it is a possibility that the given net can construct a square pyramid. To confirm that the given net will construct a square pyramid, we will make other shapes as well and observe whether another shape can also be constructed or not.
Now, we will construct a cylinder and observe its basic shapes.

So, it is clear from the above figure that a cylinder is constructed by curving a rectangle and two circles.
The given net has other basic shapes given and does not match with the basic shapes of the cylinder.
Thus, we come to a conclusion that the given net will construct a square pyramid.

So, option (B) is correct.

Note:
In the given question, the three-dimensional shapes are constructed using two-dimensional basic shapes like circle, rectangle, square, triangle, etc.
In order to make three-dimensional shapes we need to have basic knowledge of symmetry and the properties of the two-dimensional basic shapes. The difference between three-dimensional and two-dimensional objects is their physical properties like area, volume, etc.