Visualising Solid Shapes

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Using Euler's formula, find the unknown.

Verify Euler's formula for these solids.

Is a square prism same as a cube? Explain.

(i) How are prisms and cylinders alike?

(ii) How are pyramids and cones alike?

Which are prisms among the following?

Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).

Can a polyhedron have for its faces

(i) 3 triangles? (ii) 4 triangles?

(iii) a square and four triangles?

Look at the given map of a city.

Answer the following.

(a) Colour the map as follows: Blue - water plant, red - fire station, orange - library, yellow - schools, green - park, pink - college, purple - hospital, brown - cemetery.

(b) Mark a green 'X' at the intersection of Road 'C' and Nehru Road, Green 'Y' at the intersection of Gandhi Road and Road A.

(c) In red, draw a short street route from library to the bus depot.

(d) Which is further east, the city park or the market?

(e) Which is further south, the Primary School or the Sr. Secondary School?

Draw the front view, side view and top view of the given objects.

For each given solid, identify the top view, front view and side view.

(a)

(b)

(c)

(d)

(e)

For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

For each of the given solid, the two views are given. Match for each solid the corresponding top and front views.