Visualising Solid Shapes Worksheet Page 2
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42M A T H E M A T I C S
(1) and (2) are convex polyhedrons whereas
(3) and (4) are non convex polyhedron.
(b) Regular polyhedra or platonic solids:
A polyhedron is regular if its faces are congruent regular
polygons and the same number of faces meet at each vertex.
For example, a cube is a platonic solid because all six of its
faces are congruent squares. There are five such solids–
tetrahedron, cube, octahedron, dodecahedron and icosahedron.
e.g.
• A prism is a polyhedron whose bottom and top faces (known as
bases) are congruent polygons and faces known as lateral faces
are parallelograms (when the side faces are rectangles, the shape
is known as right prism).
• A pyramid is a polyhedron whose base is a polygon and lateral
faces are triangles.
• A map depicts the location of a particular object/place in relation
to other objects/places.
Try This
Try This
Try This
Try This
Try This
The front, top and side of a figure are shown. Use centimetre cubes to
build the figure. Then sketch the figure.
1.
2.
Front
Top
Side
Front
Top
Side
3.
The views below represent a three-dimensional figure that cannot be
built from cubes. Determine which three-dimensional figures match
the views.
A
B
C
D
Front
Top
Side
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172
E E E E E
P P P P P
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS
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