Question

What cross-sections do you get when you give a vertical cut horizontal cut to the following solids/figure?

Solids/figure	horizontal cut	vertical cut
A ball
A duster
A birthday cap
A cylinder

Answer 1

Hint: To solve this question, we will have to analyze all the different given objects separately. Then we have to figure out the cross-sections by the horizontal and vertical cuts. Then we need to analyze the shape generated by the cross-sections. Once the figures are cut horizontally or vertically they will generate a \[2\] - dimensional cross-section surface.

Complete answer:
A ball:

A ball is spherical. If we cut it horizontally and vertically the cross-sections generated by them will be a two-dimensional figure. Both the cuts will generate a circular cross-section.
A duster:

A duster is mostly like a cuboid. If we cut it horizontally and vertically the cross-sections generated by them will be a two-dimensional figure. Both the cuts will generate a rectangular cross-section.
A birthday cap:

A birthday cup is like a cone. If we cut it horizontally and vertically the cross-sections generated by them will be a two-dimensional figure. The horizontal cut will generate a circular cross-section while the vertical cut will give a triangular cross-section.
A cylinder:

If we cut it horizontally and vertically the cross-sections generated by them will be a two-dimensional figure. The horizontal cut will generate a circular cross-section while the vertical cut will give a rectangular cross-section.
$\therefore $ The table will look like this:

Solids/figure	horizontal cut	vertical cut
A ball	circle	circle
A duster	rectangle	rectangle
A birthday cap	circle	triangle
A cylinder	circle	rectangle

Note:
We should be well equipped with the shapes of the solids. Based on the shape of the objects, the horizontal and vertical cuts will determine the cross-sections of different objects. We should also be well acquainted with two-dimensional figures. Many objects of different shapes may have the same cross-section surface.