Exercise 15.3 Visualizing Solid Shapes NCERT Solutions Class 7

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

 

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.