AP 7th Class Maths 13th Chapter Visualising Solid Shapes InText Questions

Well-designed AP 7th Class Maths Textbook Answers Chapter 13 Visualising Solid Shapes InText Questions offers step-by-step explanations to help students understand problem-solving strategies.

AP 7th Class Maths 13th Chapter Visualising Solid Shapes InText Questions

Try These (Page No: 150)

Question 1.
Match the shape with the name:

Solution:
i) b
ii) d
iii) a
iv) c
v) f
vi) e

Do This (Page No: 154)

Question 1.
Complete the following table:

Try These (Page No: 158)

Here you find four nets (Figure). There are two correct nets among them to make a tetrahedrom. See if you can work out which nets will make a tetrahedrom.

Solution:

We denote the vertices of the triangle in the net as A, B, C₁, C₂, D₁ and D₂.

We fold the triangle AD₁C₂ upward along AC₂ and we fold the triangle AD₁B upward along AB. The vertices D₁ and D₂ are going to coincide and we name the vertex as D.

When we fold the triangle AD₁B the triangle BD₁C₁ will also be folded and the vertices C₂, C₁ will coincide and we have the vertex as C. We have now D as the apex and ABC as the base for the tetrahedron as ABCD.

ii) We will now take second figure and note the vertices.

Here we cannot get a tetrahedron by folding along the sides we may fold triangle AD₁C₂ and AD₂B where D₁ and D₂ will coincide but the triangle AC₁D₁ will remain unused. We may also fold triangles AD₁C₂ and AD₁C₁ where C₁C₂ will coincide, but triangle AD₂B remain unused. So we cannot make tetrahedron.

iii) We denote the vertices of the triangle in the net as shown in the below.

We fold the triangle AD₁B along AB, the triangle BD₂C along BC and the triangle AD₃C along AC.
The vertices D₁, D₂, D₃ will coincide and we name the vertex as D.
So, we have the tetrahedran with Apex D and triangular base ABC.

iv) We see in the figure there 5 triangles in the net bet tetrahedron as 4 triangular faces.
Hence we cannot make a tetrahedron with the net in (iv).

Try These (Page No: 170)

Question 1.
Two dice are placed side by side as shown : Can you say what the total would be on the face opposite to

a) 5 + 6
b) 4 + 3
(Remember that in a die sum of numbers on opposite faces is 7)
Solution:
a) Face opposite to 5 is 2
Face opposite to 6 is 1
∴ Sum = 2 + 1 = 3

b) Face opposite to 4 is 3
Face opposite to 3 is 4
∴ Sum = 3 + 4 = 7

Question 2.
Three cubes each with 2 cm edge are placed side by side to form a cuboid. Try to make an oblique sketch and say what could be its length, breadth and height?
Solution:

Try These (Page No: 178)

Question 1.
For each solid, the three views (1), (2), (3) are given. Identify for each solid the corresponding top, front and side views.

Solution:
a) 1 – Front / Top
2 – Side
3 – Front / Top
b) 1 – Top
2 – Side
3 – Front
c) 1 -Side
2 – Front
3 – Top
d) 1 – Side
2 – Top
3- Front

Question 2.
Draw a view of each solid as seen from the direction indicated by the arrow.

Solution: