Question

Which solid figure can be made with this net?

A.Cone
B.Pyramid
C.Cuboid
D.Cylinder

Answer 1

Hint: The basic questions which are based on the geometry of shapes mostly answered when we remember the symmetry and the basic shapes which can form the 3D shapes mentioned in the options of the problem, using these instructions we can easily find the 3D shape that can be formed with these basic shapes.

Complete step-by-step answer:
To construct the 3D shape using the given basic shapes let’s first discuss about the shapes mentioned in the options
So for the cone first let construct a cone and then identifying the basic shapes which are used to construct these 3D shapes

So as you can observe that cone is formed by 1 circle and 1 semicircle where semicircle is rounded about the line perpendicular to the center of the circle as shown in the above diagram as figure A is the cone figure B is the semicircle which will be rounded about the circle shown in the figure C
Since there is not all similar shapes needed to construct the cone as given in question therefore cone is not the net of given shapes
Now coming to pyramid

As you can see in the above diagram in figure A the shape is called pyramid with the combination of triangle and rectangle as shown in figure C the arrangement and the numbers of triangle which combine to form a pyramid
Since there is not all similar shapes needed to construct the pyramid as given in question therefore pyramid is not the net of given shapes
Now checking the geometry of cuboid

In the above figure, figure A is the cuboid and C is the combination pattern and number of total rectangle required to construct a cuboid
Since there is not all similar shapes needed to construct the cuboid as given in question therefore cuboid is not the net of given shapes
So now let’s discuss about the geometer of cylinder

So in the above diagram the figure A shows the structure of cylinder and figure B shows that the rectangle is rounded holding form the center and in figure C the curved arrow is showing how the rectangle is rounder between the 2 circles
Since the required shapes to construct a cylinder is same as the shapes given in the question
Therefore the cylinder is the net of the shapes given in the question
Hence option D is the correct option.

Note: In the above question the given shapes are named as rectangle and circle generally all the 3D shapes are made from basic 2D shapes like rectangle, square, circle, triangle and etc. To make a 3D structure we need to know the properties and the symmetry and the shapes that can be used to make that 3D object, there is only a very small difference between 3D and 2D objects and that is the difference of dimensions which are defined by the shape and some physical properties of them like surface area, volume and etc.