Page 266 - Start Up Mathematics_8 (Non CCE)

2. Look at the given map of a city.
Answer the following:
Police
(a) Colour the map as follows: Blue-water, Red-fire Cemetery Station Fire Bus
Station
station, Orange-library, Yellow-schools, Green- Gandhi Road Depot.
park, Pink-College, Purple-Hospital, Brown- Hospital Locality
Cemetery. Road A Primary
School
(b) Mark a Green ‘X’ at the intersection of Road ‘C’ Library Nehru Road B City Lake
and Nehru Road, Green ‘Y’ at the intersection of Market Road C Park Road D
Gandhi Road and Road A. Road Locality
(c) In red, draw a short street route from library to Sr. Secondary Water
the bus depot. Shastri Road School Plant
(d) Which is further east, the city park or the market? City College
(e) Which is further south, the primary school or the Community Centre
Sr. Secondary School?
3. Verify Euler’s formula for these solids.

(i) (ii)

4. Using Euler’s formula find the unknown.

Faces ? 5 20
Vertices 6 ? 12
Edges 12 9 ?

Exemplar Problems

1. In a solid if F = V = 5, then the number of edges in this shape is:
(a) 6 (b) 4 (c) 8 (d) 2
2. We have 4 congruent equilateral triangles. What do we need more to make a pyramid?
(a) An equilateral triangle.
(b) A square with same side length as of triangle.
(c) 2 equilateral triangles with side length same as triangle.
(d) 2 squares with side length same as triangle.
3. If a pyramid has a hexagonal base, then the number of vertices is ________.
4. Regular octahedron has 8 congruent faces which are isosceles triangles. (True/False)
5. A cylinder is a 3-D shape having two circular faces of different radii. (True/False)
6. Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
7. Draw the net of the following cuboid:

3 cm
2 cm
4 cm

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