Draw two nets for a triangular pyramid. Draw two nets for a hexagonal prism.
Answer
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Hint: We are asked for two net diagrams of two three-dimensional shapes, triangular pyramids, and hexagonal prism. A net of a figure is a kind of diagrammatic representation of a shape. A net diagram is something like a structure drawn on paper when folded in a way that will give that three-dimensional shape.
Complete step-by-step answer:
The net of a figure is a form of a diagrammatic structure of that particular shape.
It describes the two-dimensional shapes used to form that three-dimensional shape
A three-dimensional shape may have more than one net diagram.
Now let’s get into the solution part.
TRIANGULAR PYRAMID
A triangular pyramid is a three-dimensional shape.
Firstly, let us draw the diagram of the triangular pyramid.
From the figure, we can see that the triangular pyramid consists of four triangles, one for its base and the other three for its sides.
A net diagram is something like a structure drawn on paper when folded in a way that will give that three-dimensional shape.
So, it is clear that the net diagram consists of four triangles.
From this, we can sketch the two net diagrams
HEXAGONAL PRISM
Hexagonal prism is a three-dimensional shape.
Firstly, let us draw the diagram of the hexagonal prism.
From the figure, we can see that the hexagonal prism consists of six rectangles for its faces and two hexagons, one for the top and one for the base.
A net diagram is something like a structure drawn on paper when folded in a way that will give that three-dimensional shape.
So, it’s clear that the net diagram consists of six rectangles and two hexagons.
From this, we can sketch the two net diagrams
Note: The given net diagrams are not the only net diagrams for that particular shape. There are many more net diagrams. Here we are asked for only two, hence we have two net diagrams. Different shapes have different types of net diagrams. Many may have doubts about pyramids and prisms. A triangular prism is made of two rectangles and three triangles but a triangular pyramid is made up of four triangles. The same way a hexagonal prism is made up of six rectangles and two hexagons but a hexagonal pyramid is made up of one hexagon and six triangles.
Complete step-by-step answer:
The net of a figure is a form of a diagrammatic structure of that particular shape.
It describes the two-dimensional shapes used to form that three-dimensional shape
A three-dimensional shape may have more than one net diagram.
Now let’s get into the solution part.
TRIANGULAR PYRAMID
A triangular pyramid is a three-dimensional shape.
Firstly, let us draw the diagram of the triangular pyramid.
From the figure, we can see that the triangular pyramid consists of four triangles, one for its base and the other three for its sides.
A net diagram is something like a structure drawn on paper when folded in a way that will give that three-dimensional shape.
So, it is clear that the net diagram consists of four triangles.
From this, we can sketch the two net diagrams
HEXAGONAL PRISM
Hexagonal prism is a three-dimensional shape.
Firstly, let us draw the diagram of the hexagonal prism.
From the figure, we can see that the hexagonal prism consists of six rectangles for its faces and two hexagons, one for the top and one for the base.
A net diagram is something like a structure drawn on paper when folded in a way that will give that three-dimensional shape.
So, it’s clear that the net diagram consists of six rectangles and two hexagons.
From this, we can sketch the two net diagrams
Note: The given net diagrams are not the only net diagrams for that particular shape. There are many more net diagrams. Here we are asked for only two, hence we have two net diagrams. Different shapes have different types of net diagrams. Many may have doubts about pyramids and prisms. A triangular prism is made of two rectangles and three triangles but a triangular pyramid is made up of four triangles. The same way a hexagonal prism is made up of six rectangles and two hexagons but a hexagonal pyramid is made up of one hexagon and six triangles.
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