Which of the following solid objects is the same as the rectangular prism?

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Cube

Pyramid

Cuboid

None of these

answer is C.

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Detailed Solution

Here we are asked to find a similar solid object that is the same as a rectangular prism.
A rectangular prism is defined as “A rectangular prism is a three-dimensional object that has six faces that are all rectangular and have the same cross-section along their entire length.

Now to find the same solid object as a rectangular prism, we have to tick all the given options and draw their shapes to get a clear idea of the similar shape.
Option (1) is given as a cube shape.
A cube is a three-dimensional object that has six faces, all of which are square.

Here, the definition of a cube is more or less the same as that of a rectangular prism, but the only difference is that the faces of a cube are squares, while the faces of a rectangular prism are rectangles. So option (1) is not correct Ans.
Now for option (2) the given shape is a pyramid.
The definition of a pyramid can be given as “A pyramid is a three-dimensional object whose base is a polygon and the other sides are triangles that meet at one vertex.

Also, the definition of a pyramid does not match the definition of a rectangular prism, and the figures are also shaped differently. So option (2) is also incorrect.
Similarly, we check it for option (3), which has the shape given as a cuboid.
The definition of a cuboid is given as “A cuboid is a three-dimensional object that has six faces in the shape of rectangles.

Here, both the definition and the shape correspond to a rectangular prism. So option (3) is correct.
A rectangular prism is therefore the same as a cuboid.
So the correct answer is option 3.

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