Question & Answer
QUESTION

What cross-sections do you get when you give a Vertical cut Horizontal cut to the following solids?
(a) A brick.
(b) A round apple.
(c) A die
(d) A circular pipe.
(e) An ice cream cone

ANSWER Verified Verified
Hint: To solve this question, we will analyze all the different given figures separately and then go for the horizontal and vertical cross sections and then analyze the shape generated afterwards.

Complete step-by-step solution -

(a)A brick.
A brick is cuboidal in shape. A cuboidal is given as the figure below.

Consider horizontal cuts. It looks like,

Similarly, vertical cut on a brick looks like,

Observing the above figures, we get that both the cross sections whether horizontal or vertical on a brick gives a rectangle.

(b)A round apple.
A round apple is spherical in shape. It looks like a sphere as below,

Consider horizontal cuts. It looks like,

Similarly, vertical cut on an apple looks like,

Observing the above figures, we get that both the cross sections whether horizontal or vertical on an apple gives a circle.

(c)A die.
A die is cubical in shape. It looks like a cube as below,

Consider horizontal cuts. It looks like,

Similarly, vertical cut on a die looks like,

Observing the above figures, we get that both the cross sections whether horizontal or vertical on a die give a rectangle.

(d)A circular pipe.
A circular pipe is cylindrical in shape. A cylinder is given as the figure below.

Consider horizontal cuts. It looks like,

Similarly, vertical cut on pipe looks like,

Therefore, we have A circular pipe that has a rectangle and circle as its horizontal and vertical cross-sections respectively.

(e)An ice cream cone.
An ice cream cone is conical in shape. A cone is given as the figure below.

Consider horizontal cuts. It looks like,

Similarly, vertical cut on an ice cream cone looks like,

Therefore, Ice cream has a circle and triangle as its horizontal and vertical cross-sections respectively.

Note: In these types of questions never go for making a decision of analysing the scenario without making a proper figure. Not generating the figure can lead to incorrect answers.