The net diagram represents a
A. Cone
B. Triangle
C. Sphere
D. Cylinder
Answer
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Hint: We have a net diagram of a three-dimensional object. Each shape represents each surface of the object. So, we can compare it with the surfaces of the objects given in the option.
Complete step by step answer:
We are using a net diagram. The figure consists of a rectangle and two circles on the opposite sides of the rectangle. It represents the surfaces of a three-dimensional object.
Now, we can compare with 3 dimensional objects.
A cone has 2 surfaces. One circular surface at the base and the other surface is the curved surface of the cone.
A triangle is not a 3 D object. so, it has only a triangular surface.
A sphere has only one curved surface.
A cylinder has 3 surfaces. 2 circular surfaces at top and bottom and the curved surface. The curved surface can be cut open to form a rectangle.
In the figure we have 2 circles and one rectangle.
So, the net diagram represents a cylinder.
Therefore, the correct answer is option D.
Note: As the question was with options, we can check the surface of the objects in the option. Visualizing the surfaces of an object helps in better understanding. We must also understand the concept of cutting down curved surfaces to plane surfaces. We may think that the given diagram represents a circle or a rectangle as the diagram contains them but this figure represents a 3D object. For much better understanding, we can draw the figure on paper and join the edges to get a three-dimensional object. Another approach to solve this problem is to join the edges of the rectangle to get a pipe and the 2 circles act as their lids to get a cylinder. So, this diagram represents a cylinder.
Complete step by step answer:
We are using a net diagram. The figure consists of a rectangle and two circles on the opposite sides of the rectangle. It represents the surfaces of a three-dimensional object.
Now, we can compare with 3 dimensional objects.
A cone has 2 surfaces. One circular surface at the base and the other surface is the curved surface of the cone.
A triangle is not a 3 D object. so, it has only a triangular surface.
A sphere has only one curved surface.
A cylinder has 3 surfaces. 2 circular surfaces at top and bottom and the curved surface. The curved surface can be cut open to form a rectangle.
In the figure we have 2 circles and one rectangle.
So, the net diagram represents a cylinder.
Therefore, the correct answer is option D.
Note: As the question was with options, we can check the surface of the objects in the option. Visualizing the surfaces of an object helps in better understanding. We must also understand the concept of cutting down curved surfaces to plane surfaces. We may think that the given diagram represents a circle or a rectangle as the diagram contains them but this figure represents a 3D object. For much better understanding, we can draw the figure on paper and join the edges to get a three-dimensional object. Another approach to solve this problem is to join the edges of the rectangle to get a pipe and the 2 circles act as their lids to get a cylinder. So, this diagram represents a cylinder.
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