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Published on: 31/10/2025
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1.
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 of 7.
2.
Here is an incomplete net for making a cube. Complete it in atIeast two different ways. Remember that a cube has six faces. How many are there in the net here? (Give two separate diagrams. It you like, you may use a squared sheet for easy manipulation)
3.
How many vertices does a cuboid have?
4.
Write the number of faces, edges and vertices in the solids given below:
Prism
5.
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!)

6.
Using an isometric dot paper, draw the solid shape formed by the given net.
7.
The following diagrams show the nets of various solids. Name the solids.
8.
Mention the number of edges in a triangular prism.
9.
How many faces are there in a triangular pyramid?
10.
What will be the base of a square pyramid?
11.
If a cone of base radius 3 cm is placed on a cylinder of base radius 3 cm, then how many faces will the resultant figure have?
12.
Use isometric dot paper and make an isometric sketch for each one of the given shapes
13.
The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches at this cuboid.
14.
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
15.
The name of the given solid figure is
triangular pyramid
rectangular pyramid
rectangular prism
triangular prism
16.
The name of the given solid figure is
triangular pyramid
rectangular prism
triangular prism
rectangular pyramid
17.
Out of the following, which is a 3-D figure?
Square
Sphere
Triangle
Circle
18.
Total number of edges a cylinder has
0
1
2
3
19.
If we rotate a right angled triangle of height 5 cm and base 3 cm about its height a full turn, we get
cone of height 5 cm, base diameter 3 cm
triangle of height 5 cm, base diameter 3 cm
cone of height 5 cm, base diameter 6 cm
triangle of height 5 cm, base diameter 6 cm
20.
Looking at the following object from the side, what will be the view?
21.
Take a square piece of paper as shown in fig. (i). Fold it along its diagonals as shown in fig. (ii). Again, fold it as shown in fig. (iii). Imagine that you have cut-off 3 pieces of the form of congruent isosceles right-angled triangles out of it as shown in figure 4
22.
Which of the following 3-dimensional figures has the top, side and front as triangles?
23.
Which of these nets is a net of a cube?
24.
Which of the following nets is a net of a cylinder?
1.
According to the given condition, that opposite faces of a dice always have a total of 7 dots on them, we insert the suitable numbers in the blanks as follows:
2.
A cube has six faces, so complete net for making a cube in atleast two different ways are as follow:
In the given net, there are 6 faces of a cube.
3.
The total number of vertices in a cuboid is equal to 8.
4.
Faces = 5, edges = 9, vertices = 6
5.
Here, shadows of some 3-D objects are given, when seen under the lamp of an overhead projector. So, the solids that match each shadow are given below:
| Shadows | Objects |
|---|---|
| (i) A circle | A cricket ball, football, basketball, spherical objects |
| (ii) A square | Die, cube types objects |
| (iii) A triangle | An ice-cream cone, joker's cap |
| (iv) A rectangle | A cylindrical pipe, a cuboidal object |
6.
7.
Cube
8.
Nine
9.
Four
10.
Square
11.
Three
12.
An isometric sketch for each one of the given shape are as follow:
13.
Given, dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Three different isometric sketches of cuboid are as follow:
(i) When length and height of front face are 5 cm and 3 cm, respectively.
(ii) When length and height of front face are 2 cm and 5 cm, respectively.
(iii) When length and height of front face are 3 cm and 5 cm, respectively.
14.
An isometric sketch of a cuboid formed by placing three cubes with 2 ern edge side by side is given below:
Then, length of cuboid = 2 + 2 + 2 = 6 cm
Breadth of cuboid = 2 cm
and height of cuboid = 2 cm
Also, the oblique sketch of this cuboid is given below:
15.
(b)
rectangular pyramid
16.
(c)
triangular prism
17.
(b)
Sphere
18.
(c)
2
19.
(c)
cone of height 5 cm, base diameter 6 cm
20.
(d)
21.
(a)
22.
(c)
23.
(b)
24.
(c)
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