Exercise 15.3 Visualizing Solid Shapes NCERT Solutions Class 7
Exercise 15.3
Chapter 15 Ex.15.3 Question 1
What cross-sections do you get when you give a
(i) vertical cut
(ii) 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
Solution

What is known?
Different solids.
What is unknown?
What cross-sections we get if we cut it vertically and horizontally.
Reasoning:
Shapes | Vertical cut | Horizontal cut |
Cube | \(2\) rectangular face shapes | \(2 \) rectangular face shapes |
Cuboid | \(2\) rectangular face shapes | \(2\) rectangular face shapes |
Cylinder | \(2\) rectangular face shapes | \(2\) cylindrical shapes |
Sphere | \(2\) semi-circular face shapes | \(2\) semi-circular face shapes |
Cone | \(2\) triangular face shapes | \(1\) small cone and \(1\) frustum |
Steps:
(a) A brick
Vertical cut. We will get \(2\) rectangle shape pieces of length half the length of brick but breath will be same
Horizontal cut. We will get \(2\) pieces of rectangle shape each of same length but with half the breath of the brick.
(b) A round apple
Vertical cut. We will get \(2\) semi-circle shape pieces of same diameter.
Horizontal cut. We will get \(2\) semi-circle shape pieces of same diameter.
(c) A dice
Vertical cut. We will get \(2\) rectangular shape pieces of length half the side of dice but breath will be same as side of dice.
Horizontal cut. We will get \(2\) pieces of rectangular shape each of length equals to side of dice but breadth will be half of side of dice.
(d) A circular pipe
Vertical cut. We will get \(2\) rectangular shape pieces. Length will be equal to height of circular pipe and breadth will be equal to diameter of circular pipe
Horizontal cut. We will get \(2\) pieces of circular pipe but their height will be half of original circular pipe
(e) An ice cream cone
Vertical cut. We will get \(2\) triangular shape pieces
Horizontal cut. We will get \(1\) piece of small cone shape and \(1\) frustum shape piece.