Answer
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Hint: We use the definition of rectangular prism and the number of sides of the rectangular prism to check if it matches the definition of any other rectangular figure.
* A rectangular prism is a rectangular shaped prism having 8 vertices, 12 sides and 6 rectangular faces.
Complete step by step solution:
We draw a rectangular prism having 8 vertices, 12 sides and 6 rectangular faces.
Here we have a rectangular prism.
Since there are a total 6 faces that are rectangular in shape.
Also, opposite faces are of equal area i.e. the length of sides of opposite faces are equal.
A rectangular prism has a length, breadth and height as its three dimensions.
\[ \Rightarrow \]There are 4 rectangles of same measures and 2 rectangles of same measures.
Since each face of the prism is in rectangle shape, we call it a rectangular prism.
We know a cuboid has a similar shape i.e. having 6 rectangular faces where each opposite rectangular face is equal and parallel to another rectangular face.
So, cuboid has a length, breadth and height just like the rectangular prism.
\[ \Rightarrow \]A rectangular prism is a type of cuboid.
\[\therefore \]Rectangular prism is also called a cuboid.
Note: Many students confuse rectangular prism with normal triangular prism as most people have seen triangular prism in real life and they think there is only one kind of prism i.e. triangular prism. Keep in mind the word rectangular and triangular along with the shape tell us the structure of the prism. Here we have rectangular prisms so the structure will be rectangular i.e. the sides are in rectangle form.
* A rectangular prism is a rectangular shaped prism having 8 vertices, 12 sides and 6 rectangular faces.
Complete step by step solution:
We draw a rectangular prism having 8 vertices, 12 sides and 6 rectangular faces.
Here we have a rectangular prism.
Since there are a total 6 faces that are rectangular in shape.
Also, opposite faces are of equal area i.e. the length of sides of opposite faces are equal.
A rectangular prism has a length, breadth and height as its three dimensions.
\[ \Rightarrow \]There are 4 rectangles of same measures and 2 rectangles of same measures.
Since each face of the prism is in rectangle shape, we call it a rectangular prism.
We know a cuboid has a similar shape i.e. having 6 rectangular faces where each opposite rectangular face is equal and parallel to another rectangular face.
So, cuboid has a length, breadth and height just like the rectangular prism.
\[ \Rightarrow \]A rectangular prism is a type of cuboid.
\[\therefore \]Rectangular prism is also called a cuboid.
Note: Many students confuse rectangular prism with normal triangular prism as most people have seen triangular prism in real life and they think there is only one kind of prism i.e. triangular prism. Keep in mind the word rectangular and triangular along with the shape tell us the structure of the prism. Here we have rectangular prisms so the structure will be rectangular i.e. the sides are in rectangle form.
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