Q.1. Net of dice is given below, answer the following questions:
(i) Find the number of dots on the face C of the dice?
(ii) Find the number of dots on the face B of the dice?
(iii) Find the sum of dots on faces A and B in the given figure.
Ans. (i) 6
(ii) 4
(iii) 6
Q.2. How many rectangles are in the net of rectangular prism?
Ans. 6
Q.3. State whether the given statements are 'True' or 'False'.
(i) In the oblique sketch of the solid, the measurements are kept proportional.
(ii) The measurements are of exact size in an isometric sketch.
(iii) While a sphere is a 2-D figure, the circle is a 3-D figure.
(iv) The circle, the square, the rectangle, and the triangle are examples of plane figures.
Ans. (i) False, In oblique sketches, measurements are not necessarily kept proportional.
(ii) True
(iii) False, A sphere is a 3D figure, while a circle is a 2D figure.
(iv) True
Q.4. Fill up the blanks :
(i) The solid with one circular face, one curved surface, and one vertex is called ...........
(ii) Total no. of edges a cylinder are .......................
(iii) A solid with no vertex is ....................
(iv) The common portion of two adjacent faces of a cuboid is called .................
Ans. (i) Cone
(ii) 2
(iii) Sphere
(iv) Edge
Q.5. Complete the following table :
Figure | No. of Faces
.........................
.........................
.........................
......................... | No. of Edges
.........................
.........................
.........................
......................... | No. of Vertices
.........................
.........................
.........................
......................... |
Ans.
Figure | No. of Faces
7
5
5
7 | No. of Edges
15
8
9
15 | No. of Vertices
10
5
6
10 |
Q.6. Draw the top, the front, and the side views of the given solid made up of cubes.
Ans.
Top view
Front view
Side view (right)
Q.7. Draw an isometric view of a cuboid 5 cm × 3 cm × 2 cm.
Ans. Three different isometric sketches of the given cuboid are shown below:
Q.8. Form the above figure answer the following questions:
(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersect at edge FB?
(iii) Give all the edges that are per pendicular to edge AB.
(iv) Give four vertices that do not all lie in one plane.
(v) If we subtract......from 53214 than the number so obtained is divisible by 8.
Ans.
(i) EF
(ii) ABFE, BFGC
(iii) AE, BF, AD, BC
(iv) A, E, C, B (Group of pains may differ)
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