Visualising Solid Shapes Worksheet Page 10
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42M A T H E M A T I C S
Solution
: Understand and Explore the problem
• What information is given in the question?
A cube with one of its corner cut.
• What are you trying to find?
The no. of edges, vertices and faces.
• Is there any information that is not needed?
The measures of edges are not needed.
Plan a strategy
• Think of the definitions of an edge, vertex and faces
and try to co-relate them to the figure given above.
Solve
• The polygonal regions are called faces, hence there are
7 faces.
• The line segment formed by the intersection of two faces
is called edges, hence there are 15 edges.
• Edges meet at vertices which are points, hence there
are 10 vertices.
Revise
• The above answer is verified using Euler’s Formula.
F + V = E + 2
For the above problem, F = 7, V = 10, E = 15
F + V = 7 + 10 = 17
E + 2 = 15 + 2 = 17
Hence F + V = E + 2 is verified.
These figures are prisms.
These figures are not prisms.
180
180
180
180
180
E E E E E
P P P P P
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS
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