Visualising Solid Shapes Worksheet Page 28
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42M A T H E M A T I C S
71. Can a polyhedron have V = F = 9 and E = 16 ? If yes, draw its figure.
72. Check whether a polyhedron can have V = 12, E = 6 and F = 8.
73. A polyhedron has 60 edges and 40 vertices. Find the number of its
faces.
74. Find the number of faces in the given shapes:
75. A polyhedron has 20 faces and 12 vertices. Find the edges of the
polyhedron.
76. A solid has forty faces and, sixty edges. Find the number of vertices
of the solid.
77. Draw the net of a regular hexahedron with side 3 cm. (Hint: Regular
hexahedron - cube)
78. Draw the net of a regular tetrahedron with side 6 cm.
79. Draw the net of the following cuboid:
Think
Think
and
and
Discuss
Discuss
Think
Think
Think
and
and
and
Discuss
Discuss
Discuss
1. Tell
whether a figure’s surface area has increased or decreased if each
1
dimension of the figure is changed by a factor of
.
3
2. Explain
how the surface area of a figure is changed if each dimension
is multiplied by a factor of 3.
3. Explain
how the volume of a figure is changed if each dimension is
multiplied by a factor of 2.
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