My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
NCERT · Class 7 · Maths

Chapter 13: Visualising Solid Shapes

Practice each question, then open the answer or worked solution.

Exercise 15.1

Textbook page 281 · 5 questions
Q1Written answer

Identify the nets which can be used to make cubes (cut out copies of the nets and try it):

(i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 1

Show solutionHide solution
Worked solution

Solution:-

The given net cannot be folded as a cube.

Because, it can be folded as below,
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 2

(ii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 3

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 4

(iii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 5

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 6

(iv)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 7

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 8

(v)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 9

Solution:-

The given net cannot be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 10

(vi)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 11

Solution:-

The given net can be folded as a cube.

Because, it can be folded as below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 12

Q2Written answer

Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 13

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 14

Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.

Show solutionHide solution
Worked solution

Solution:-

(i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 15

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

(ii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 16

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

Q3Written answer

Can this be a net for a die?

Explain your answer.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 17

Show solutionHide solution
Worked solution

Solution:-

The given net is folded as dice is shown in figure below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 18

No, this cannot be a net for a die.

By observing the figure we can say that, one pair of opposite face will have 1 and 4, another pair of opposite face will have 3 and 6 the sum of these two opposite faces are not equal to 7.

Q4Written answer

Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here?

(Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 19

Show solutionHide solution
Worked solution

Solution:-

In the given net there are 3 faces and it can be completed as shown below,

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 20

Q5Written answer

Match the nets with appropriate solids:

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 21

Show solutionHide solution
Worked solution

Solution:-

(a) (ii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 22
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 23

Because, the net (ii) can be folded as a square.

(b) (iii)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 24
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 25

Because, the net (iii) can be folded as a cylinder.

(c) (iv)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 26
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 27

Because, the net (iv) can be folded as a cone.

(d) (i)

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 28
NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Image 29

Because, the net (i) can be folded as a pyramid.