Advertisements
Advertisements
प्रश्न
Match the following figure:
Advertisements
उत्तर
(a) The given figure is a cuboid with sides 4, 4 and 6 units.
\[\text { Area of a rectangle } =\text { length }\times \text { width}\]
\[ \therefore \text{Area of the rectangular face sith sides 4 and} 4 =4 \times 4=16\]
\[\text { And, area of the other face with sides 4 and 6 }=4 \times 6=24 \]
Thus, the net for the given figure will have four faces with area 24 and two faces with area 16.
Observe net (iv) satisfies this.
Thus, the net of figure (a) is net (iv).
(b) The given figure is a cuboid with sides 3, 3 and 8.
\[\text { Area of arectangle }=\text { length }\times \text { width }\]
\[\therefore \text { Area of the rectangular face sith sides 3 and 3 =3 }\times3=9\]
\[\text { And the area of the other face with sides 3 and 8 } =3\times8=24\]
\[\text { Thus, the net for given figure will have four faces with area 24 and two faces with area 9 }.\]
\[\text { Observe that net (i) satisfies this}.\]
\[\text { Thus, the net of figure (b) is net } (i).\]
(c)The given figure is a cuboid with sides 3, 4 and 6.
\[\text { Area of a rectangle }=\text { length }\times \text { width }\]
\[ \therefore \text { Area of the rectangular face sith sides 3 and 4 =3 }\times4=12,\]
\[\text { Area of the rectangular face with sides 4 and 6 =4 }\times6=24\]
\[\text { And, area of the other face with sides 3 and 6 =3 }\times6=18\]
\[\text { Thus, the net for given figure will have two faces with area 24, two faces with area 18 and two faces with area 12. }\]
Observe that net (ii) satisfies this.
Thus, the net of figure (c) is net (ii).
(d) The given figure is a cuboid with sides 3, 3 and 9.
\[\text { Area of arectangle=length }\times \text { width }\]
\[\text { Area of the rectangular face with sides 3 and 3 =3 }\times3=9,\]
\[\text { And, area of the other face with sides 3 and 9 =3 }\times9=27\]
\[\text { Thus, the net for given figure will have four faces with area 27 and two faces with area 9 }.\]
Observe that net (iii) satisfies this.
Thus, the net of figure (d) is net (iii).
संबंधित प्रश्न
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
Verify Euler’s formula for given solids.
Verify Euler's formula for the following polyhedron:
Name the polyhedron that can be made by folding net:
The figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:
A square
In this case, name the object.
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| 8 | ? | 10 |
How many vertices does the following solid have?
Octagonal Pyramid
How many edges does the following solid have?
Kaleidoscope
A solid that has only one vertex is ______.
Which 3D solid has no vertices and no edges?
