Chapter 6: Visualising Solid Shapes

Solution:-

In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the same face.

Solution:-

If 4 km on a map is represented by 1 cm, then 16 km is represented by 4 cm.

= 16/4

= 4 cm

Solution:-

If the actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is 1: 4400000

From the question, it is given that,

Actual distance between two places A and B is = 110km

Distance is represented on a map by = 25 mm

So, the scale used is = Size drawn on map/ actual distance

= 25 mm/110 km

We know that, 1km = 1000m

1m = 100cm

1cm = 10mm

1 km = 10,00,000

So, 110km = 11,00,00,000 mm

Therefore = 25/11,00,00,000

= 1/4400000

= 1: 4400000

Solution:-

A pentagonal prism has 7 faces.

Solution:-

If a pyramid has a hexagonal base, then the number of vertices is 7.