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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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 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

Steps:

(a) A brick

Vertical cut: We will get 2 rectangle shape pieces of length half the length of brick but breath will be the same

Horizontal cut: We will get 2 pieces of rectangle shape each of the same lengths but with half the breadth of the brick.

(b) A round apple

Vertical cut: We will get 2 semi-circle shape pieces of the same diameter.

Horizontal cut: We will get 2 semi-circle shape pieces of the same diameter.

(c) A dice

Vertical cut: We will get 2 rectangular shape pieces of length half the side of the dice but breath will be the same as the side of the dice.

Horizontal cut: We will get 2 pieces of rectangular shape each of length equal to the side of dice but breadth will be half of the side of dice.

(d) A circular pipe

Vertical cut: We will get 2 rectangular shape pieces. Length will be equal to the height of circular pipe and breadth will be equal to the diameter of circular pipe

Horizontal cut. We will get 2 pieces of circular pipe but their height will be half of the 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

☛ Check: NCERT Solutions Class 7 Maths Chapter 15

Video Solution:

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

Maths NCERT Solutions Class 7 Chapter 15 Exercise 15.3 Question 1

Summary:

The cross-sections we get when we 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 are as follows 
(a) Vertical: 2 rectangular face shapes, Horizontal: 2 rectangular face shapes (b) Vertical: 2 semicircles, Horizontal: 2 semicircles.(c) Vertical: 2 rectangular face shapes, Horizontal: 2 rectangular face shapes (d) Vertical: 2 cylindrical shapes, Horizontal: 2 cylindrical shapes. (e) Vertical: We get two triangular shapes, Horizontal: 1 small piece of small come and 1 frustum shape.

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