Question

Which of the following solid objects is the same as the rectangular prism?
A) Cube
B) Pyramid
C) Cuboid
D) None of these

Answer 1

Hint:
The definition of the rectangular prism is “A rectangular prism is a three-dimensional object which has six faces that are all rectangles and has the same cross-section along the length.”
Then, observe the options and imagine their shapes and write down the definitions of the objects mentioned in the options.
Thus, compare the shapes and definition and decide what solid object is the same as the rectangular prism.

Complete step by step solution:
Here, we are asked to find a similar solid object which is the same as the rectangular prism.
Rectangular prism is defined as “A rectangular prism is a three-dimensional object which has six faces that are all rectangles and has the same cross-section along the length.”

Now, to find the same solid object as the rectangular prism, we need to check all the given options and draw their figures to get a clear idea of the similar shape.
Option (A) is given as a shape of a cube.

A Cube is a three-dimensional object which has six faces that are all squares.

Here, the definition of the cube more or less matches with the definition of rectangular prism, but the only difference is the faces of the cube are squares while that of rectangular prism are rectangles. So, option (A) is not the correct answer.

Now, for option (B) the shape given is a pyramid.
The definition of pyramid can be stated as “Pyramid is a three-dimensional object which has a polygon as its base and the other sides are triangles that meet at one apex.”

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

Here, the definition and shape both match the rectangular prism. So, option (C) is correct.
Thus, the rectangular prism is the same as the cuboid.

Note:
Properties of rectangular prism:
1) It has 6 rectangular faces, 12 edges and 8 vertices.
2) Opposite faces of the prism are rectangular in shape
3) It has a cross section in the shape of a rectangle.
4) Its shape is similar to the cuboid.