Andhra Pradesh SCERT Class 7 Maths Visualising Solid Shapes Question and Answers Solutions
Andhra Pradesh SCERT 7th Class Maths Solutions Chapter 13 Visualising Solid Shapes Question and answers. Students who are searching for Andhra Pradesh Class 7 Maths Chapter 13 can find here Solution of this chapter.
Board |
Andhra Pradesh (AP Board) |
Class |
7th |
Subject |
Maths |
Topic |
Solution |
EXERCISE 13.1
1.) Identify the nets which can be used to make cubes (cut out copies of the nets and try it):
ANSWER:
We know,
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces but does not form cube shape because the arrangement is wrong.
ANSWER:
We know,
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces and form cube shape because the arrangement is correct.
ANSWER:
We know,
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces and form cube shape because the arrangement is correct.
ANSWER:
We know,
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces and form cube shape because the arrangement is correct.
ANSWER:
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces but does not form cube shape because the arrangement is wrong.
ANSWER:
We know,
A net is a sort of skeleton-outline in 2-D which, when folded, results in a 3-D shape.
The cube has 6 faces.
The given net has 6 faces and form cube shape because the arrangement is correct.
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:
Given that,
Dice are cubes with dots on each face.
Opposite faces of a die always have a total of seven dots on them.
Sum of opposite faces of a die always 7.
We insert numbers in such way that opposite faces sum is always 7.
3.) Can this be a net for a die? Explain your answer.
ANSWER:
We know,
When we make die, opposite faces of a die always have a total of seven.
The opposite faces of nets are,
Opposite face of 1 is 4
1 + 4 = 5 which is not equal to 7.
Also
Opposite face of 3 is 6.
3 + 6 = 9 which is not equal to 7.
From given net,
We cannot make a die.
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:
We know,
There are 6 faces to cube but in question only 3 faces are given.
We required 3 more faces to make a cube.
Now we have to made arrangement to make a cube in 2 different ways.
5.) Match the nets with appropriate solids:
ANSWER:
We have to match the nets with appropriate solids.
EXERCISE 13.2
1.) Use isometric dot paper and make an isometric sketch for each one of the given shapes:
ANSWER:
We know,
To draw sketches in which measurements also agree with those of the solid, we can use isometric dot sheets.
Step 1: Draw a rectangle to show front face of length 6 unit and width 3 unit.
Step 2: Draw four parallel line segments length 2 starting from the four corners of the rectangle.
Step 3: Connect the matching corners appropriate line segments.
This is required isometric sketch.
2.) The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.
ANSWER:
Given dimensions of a cuboid are 5 cm, 3 cm and 2 cm.
We have to draw isometric sketches of cuboid.
3.) 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:
4.) Make an oblique sketch for each one of the given isometric shapes
ANSWER:
The lengths are not equal in an oblique sketch.
Step – 1
Step – 2
Step – 3
ANSWER:
The lengths are not equal in an oblique sketch.
Step – 1
Step – 2
Step – 3
5.) 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?)
ANSWER:
We have to give isometric sketch of cuboid of dimensions 5 cm, 3 cm and 2 cm.
(b) A cube with an edge 4 cm long
ANSWER: