Visualising Solid Shapes(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

VISUALISING SOLID SHAPES MCQs

Total Questions : 129 | Page 4 of 13 pages

Question 31. Can this net diagram be used for a die? (True/False)

True
False
4
1

Discuss Question

Answer: Option A. -> True
:
A
From the figure,

a diecan be made.

Question 32. The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

edges, faces, vertices
vertices, edges, faces
vertices, faces, edges
faces, edges, vertices

Discuss Question

Answer: Option B. -> vertices, edges, faces
:
B
The corners of a solid shape are called its vertices; the line segments of its skeleton are called its edges; and its flat surfaces are its faces.

Question 33. If the following figure can be folded to form a die, then find the value of B?

Discuss Question

Answer: Option B. -> 6
:
B
It is given that the figure can be formed in the shape of the die, we know that the sum of numbers on opposite faces of a die is 7.
When we form adie with the given shape, the number on the opposite face of A, Band C will be 2,1 and3 respectively.
So, number on the opposite face of Bis 1.

⟹

B+1=7

⟹

B= 7-1 = 6

⟹

B= 6

Question 34. The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

edges, faces, vertices
vertices, edges, faces
vertices, faces, edges
faces, edges, vertices

Discuss Question

Answer: Option B. -> vertices, edges, faces
:
B
The corners of a solid shape are called its vertices; the line segments of its skeleton are called its edges; and its flat surfaces are its faces.

Question 35.

Which of the following net diagrams can be used for the above-shown cylinder?

Discuss Question

Answer: Option B. -> vertices, edges, faces
:
B
A cylinder is a combination of two circular shapes and one rectangular shape.

Question 36. (a) Two cubes of dimensions

2 c m \times 2 c m \times 2 c m

are placed side by side. What is the length of the resulting cuboid?

(a) Two Cubes Of Dimensions 2 cm×2 cm×2 cm Are Placed S...

(b) How many faces, vertices and edges does a triangular prism have?

[3 MARKS]

Discuss Question

:
Each part: 1.5 Marks
(a) As it is clearly evident from the figure, when we place two cubes side by side, their length gets added, but there is no change in the other dimensions.

Length = 2 + 2 = 4 cm
Breadth = 2 cm
Height = 2 cm

(b)

Number of Faces = 5
Number of Vertices = 6
Number of Edges = 9

Question 37. Verify Euler's formula for the following solids. [4 MARKS]

Discuss Question

:
Each part: 2 Marks
(i)Faces = 7, Vertices = 10, Edges = 15
By Euler's Formula, F + V- E = 2
7 + 10 - 15 = 2
17 - 15 = 2
Therefore, Euler's Theorem is verified.
(ii)Faces = 9, Vertices = 9, Edges = 16
By Euler's Formula, F + V - E = 2
9 + 9 - 16 =2
18 - 16 = 2
Therefore, Euler's Theorem is verified.

Question 38. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid. [3 MARKS]

Discuss Question

:
Each drawing: 1 Mark
The threeisometric sketches of the given cuboid can be drawn as follows:

The Dimensions Of A Cuboid Are 5 Cm, 3 Cm And 2 Cm. Draw Thr...

Question 39. What shape is made by joining 4 triangles together? [1 MARK]

Discuss Question

:
This shape has a triangular base, and the sides are made from 3 triangles which meet at the top. The resultant shape is a pyramid.

Question 40. What is meant by Oblique Sketches and Isometric Sheets? [2 MARKS]

Discuss Question

:
Definition: 1 Mark each
AnOblique sketchdoes not have proportional lengths, still, it conveys all important aspects ofthe appearance of the solid.
AnIsometric Sketchis drawn on an isometric dot paper. In an isometric sketch of the solid, the measurements are kept proportional.