NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

Question

Class 7 Maths NCERT Solutions Chapter 15 Experts in the field create the Visualising Solid Shapes here. Our experts have written these solutions in simple language so that students can easily learn and comprehend them. These solutions are precise, and they adhere to the most recent CBSE syllabus. Our NCERT solutions are the best way to help students prepare for CBSE exams as well as competitive exams such as JEE Mains, JEE Advanced, and other similar exams. These solutions are presented in a step-by-step format.

According to the exam, these topics are extremely important. Sarthak experts recommend that students go through all of the topics in NCERT Solutions Class 7 Maths in order to fully understand this chapter. Every year, a significant number of questions from this chapter are asked in the CBSE board examination. Our solutions are essential for better understanding, answering questions, revising, completing assignments, and doing homework with ease. Students can also find answers to NCERT intext questions, exercises, and questions from the back of the book. These solutions not only provide the required solutions but also provide you with a thorough understanding of all related concepts. Now that you have all of the solutions and practice questions at your fingertips, you can get started right away.

Answer 1

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

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

Answer:

(i) The given net cannot be folded as a cube.

(ii) The given net can be folded as a cube.

(iii) The given net can be folded as a cube.

(iv) The given net can be folded as a cube.

(v) The given net cannot be folded as a cube.

(vi) The given net can be folded as a cube.

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

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

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

Answer:

(i) 

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)

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.

3. Can this be a net for a die?

Explain your answer.

Answer:

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

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.

4. 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.)

Answer:

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

5. Match the nets with appropriate solids:

Answer:

(a) (ii)

(b) (iii)

(c) (iv)

(d) (i)

6. Use isometric dot paper and make an isometric sketch for each one of the given shapes:

Answer:

7. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.

Answer:

8. Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.

Answer:

In the given figure, we have an isometric sketch of a cuboid formed by placing three cubes each of 2 cm edge side by side.

9. Make an oblique sketch for each one of the given isometric shapes:

Answer:

10. Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:

(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)

(b) A cube with an edge 4 cm long.

Answer:

(a)

(i) Oblique sketch

(ii) Isometric sketch

(b) 

(i) Oblique sketch

(ii) Isometric sketch

Answer 2

11. What cross-sections do you get when you give a (i) vertical cut and (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

Answer:

Solids	Shape of cross-section of vertical cut	Shape of cross­section for horizontal cut
(a) A brick	Rectangle	Rectangle
(b) A round apple	Circle	Circle
(c) A die	Square	Square
(d) A circular pipe	Circle	Rectangle
(e) An ice cream apple	Triangle	Circle

12. A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

Answer:

(i)

The shape of the shadow obtained from a ball is a circle.

(ii)

The shape of the shadow obtained from a cylindrical pipe is a rectangle.

(iii)

The shape of the shadow obtained from a book is a rectangle.

13. Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector. Identify the solid(s) that match each shadow. (There may be multiple answers for these!)

Answer:

(i) Cricket ball, water bottle cap, Disc etc.

(ii) Die, chalk box etc.

(iii) Birthday cap etc.

(iv) Book, keyboard, mobile etc.

14. Examine if the following are true statements:

(i) The cube can cast a shadow in the shape of a rectangle.

(ii) The cube can cast a shadow in the shape of a hexagon.

Answer:

(i) The above statement is true.

(ii) The above statement is false.