Question

What two – dimensional cross section could we create by slicing the rectangular prism?

(a) Square
(b) Triangle
(c) Rectangle
(d) Circle

Answer 1

Hint: Here we need to imagine the cross section of the rectangular prism when it is cut by the plane as shown in the given figure. We will try to draw the portion of the rectangular prism at its corner after it is sliced by the given angle and check the cross section and the two – dimensional figure it will represent to get the answer.

Complete step by step solution:
Here we have been provided with the rectangular prism which is getting sliced at a particular angle as shown in the figure. We are asked to determine the two – dimensional cross section it will form.

Now, a rectangular prism is also known as a cuboid. We need to imagine the cross section of the part of the cuboid which is being sliced, so let us draw a sketch of the cuboid after its slicing according to the given angle.

Clearly we can see that the area of the cross section after the slicing of the rectangular prism is a triangle, therefore the two dimensional cross section of the obtained shape is a triangle.
So, the correct answer is “Option b”.

Note: Note that the 2 – D shape of the cross section that will be formed after slicing completely depends on the alignment of the plane that is being used to cut the figure. If we cut the cuboid horizontally, vertically or diagonally then we can form a rectangular cross section. We can also form a square and trapezium cross section if we slice the prism with some particular measurements of length and angle.