Visualising Solid Shapes Worksheet Page 23
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42UNIT-6
64. Draw a prism with its base as regular hexagon with one of its face
facing you. Now draw the top view, front view and side view of this
solid.
65. How many vertices does each of the following solids have?
(a) Cone
(b) Cylinder
(c) Sphere
(d) Octagonal Pyramid
(e) Tetrahedron
(f)
Hexagonal Prism
66. How many edges does each of following solids have?
(a) Cone
(b) Cylinder
(c) Sphere
(d) Octagonal Pyramid
(e) Hexagonal Prism
(f)
Kaleidoscope
Explore
Explore
Explore
the
the
the
volume
volume
volume
of
of
of
Prisms
Prisms
Prisms
and
and
and
Cylinders
Cylinders
Cylinders
Explore
Explore
the
the
volume
volume
of
of
Prisms
Prisms
and
and
Cylinders
Cylinders
The volume of a three-dimensional figure is the number of cubes it can
hold. One cube represents one cubic unit of volume.
A c t i v i t y
A c t i v i t y
A c t i v i t y
A c t i v i t y
A c t i v i t y
1.
Use centimetre cubes to build the rectangular prism
shown. What are the length, width and height of the
prism? How many cubes does the prism hold?
2.
You can find out how many cubes the prism holds
without counting every cube. First look at the prism
from above. How can you find the number of cubes in
the top layer without counting every cube?
Top
3.
Now look at the prism from the side. How many layers
does the prism have? How can you use this to find the
total number of cubes in the prism?
Side
Think
Think
Think
Think
Think
and
and
and
and
and
Discuss
Discuss
Discuss
Discuss
Discuss
1.
Describe a shortcut for finding the number of cubes in a rectangular
prism.
2.
Suppose you know the area of the base of a prism and the height of the
prism. How can you find the prism’s volume?
3.
Let the area of the base of a prism be B and the height of the prism be
h. Write a formula for the prism’s volume V.
V V V V V
S S S S S
S S S S S
193
193
193
193
193
ISUALISING
ISUALISING
OLID
OLID
HAPES
HAPES
ISUALISING
ISUALISING
ISUALISING
OLID
OLID
OLID
HAPES
HAPES
HAPES
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