Question 13 Marks
Match the shape with the name.
Answer
View full question & answer→After matching the shape, their corresponding names are given below.
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Question 23 Marks
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!)
Answer
View full question & answer→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.
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 |
Question 33 Marks
What cross-sections do you get when you give a
(i) vertical cut? (ii) horizontal cut?
to the following solids?
(a) A brick $\quad$ (b) A round apple
(c) A dice $~~\quad$ (d) A circular pipe
(e) An ice-cream cone
(i) vertical cut? (ii) horizontal cut?
to the following solids?
(a) A brick $\quad$ (b) A round apple
(c) A dice $~~\quad$ (d) A circular pipe
(e) An ice-cream cone
Answer
View full question & answer→| Name of solids | Name of the cross-section in case of | |
| Vertical cut | Horizontal cut | |
| (a) A brick | Rectangle | Rectangle |
| (b) A round apple | Circle | Circle |
| (c) A dice | Square | Square |
| (d) A circular pipe | Circle | Rectangle |
| (e) An ice-cream cone | Triangle | Circle |
Question 43 Marks
The dimensions of a cuboid are $5 cm, 3 cm$ and 2 cm . Draw three different isometric sketches of this cuboid.
Answer
View full question & answer→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.
(ii) When length and height of front face are 2 cm and 5 cm.
(iii) When length and height of front face are 3 cm and 5 cm.
Three different isometric sketches of cuboid are as follow:
(i) When length and height of front face are 5 cm and 3 cm.
(ii) When length and height of front face are 2 cm and 5 cm.
(iii) When length and height of front face are 3 cm and 5 cm.
Question 53 Marks
Answer
View full question & answer→After matching the two dimensional figures, their corresponding names are given below.
Question 63 Marks
In the following figure,
(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersected at edge FB?
(iii) Which three faces form the vertex $A$?
(iv) Which vertex is formed by the faces $A B C D, A D H E$ and CDHG?
(v) Give all the edges that are parallel to edge AB.
(vi) Give the edges that are neither parallel nor perpendicular to edge $B C$.
(vii) Give all the edges that are perpendicular to edge $A B$.
(i) Which edge is the intersection of faces EFGH and EFBA?
(ii) Which faces intersected at edge FB?
(iii) Which three faces form the vertex $A$?
(iv) Which vertex is formed by the faces $A B C D, A D H E$ and CDHG?
(v) Give all the edges that are parallel to edge AB.
(vi) Give the edges that are neither parallel nor perpendicular to edge $B C$.
(vii) Give all the edges that are perpendicular to edge $A B$.
Answer
View full question & answer→(i) $E F$
(ii) $A B F E, B F G C$
(iii) $A B F E, A B C D, A D H E$
(iv) $D$
(v) $C D, E F, G H$
(vi) $A E, E F, G H, H D$
(vii) $A E, B F, A D, B C$
(ii) $A B F E, B F G C$
(iii) $A B F E, A B C D, A D H E$
(iv) $D$
(v) $C D, E F, G H$
(vi) $A E, E F, G H, H D$
(vii) $A E, B F, A D, B C$
Question 73 Marks
How an object which is 3-D can be viewed in different ways? Name all the ways.
Answer
View full question & answer→Different sections of 3-D can be viewed in many ways as follows.
(i) One way is to view by cutting or slicing the shape, which would result in the cross-section of the solid.
(ii) Another way is by observing a 2-D shadow of a 3-D shape.
(iii) A third way is to look at the shape from different angles.
(i) One way is to view by cutting or slicing the shape, which would result in the cross-section of the solid.
(ii) Another way is by observing a 2-D shadow of a 3-D shape.
(iii) A third way is to look at the shape from different angles.
Question 83 Marks
Draw the nets of the followings.
(i) Triangular prism
(ii) Tetrahedron
(iii) Cuboid
(i) Triangular prism
(ii) Tetrahedron
(iii) Cuboid
Answer
View full question & answer→(i) Net for triangular prism,
(ii) Net for tetrahedron,
(iii) Net for cuboid,
(ii) Net for tetrahedron,
(iii) Net for cuboid,