Question

Satish used 6 L of oil paint to paint a map
of India of 6 m high. How many litres of
paint would Santosh need for painting a
proportionally scaled map of height 18 m?
(a) 54
(b) 18
(c) 30
(d) Cannot be determined.​

Answer 1

Given :

• Satish used 6 L of oil paint to paint a map of India of 6 m high.

We Need To Find :

• Total number of litres of paint would Santosh need for painting a proportionally scaled map of height 18 m =?

Step-by-step explanation :

Let, total number of litres of paint x ltr.

Thus, our table look like,

________________________________

| Number of litres (in litre ) = 6 | x |________________________________

| Height of the map (in metre) = 6 | 18 |

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Now, as the height of the map is increases.

The total number of litres of paint is also increases.

∴ They are in direct proportion :

➮ 6/6 = x/18

➮ 6/6 × 18 = x

➮ 6 × 3 = x

➮ 18 = x.

Therefore, the total number of litres of paint would Santosh need for painting a proportionally scaled map of height 18 m = 18 litres.

Hence,

Option b). 18 litres is the correct option ✔️