Question

Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of

15m, 10m and 7m, respectively. From each can paint of 100m2 of area is painted. How many

cans of paint will she need to paint the room?​

Answer 1

Given :

Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of  15m, 10m and 7m, respectively. From each can paint of 100m² of area is painted.

To find :

How many  cans of paint will she need to paint the room.

Solution :

Dimensions of cuboidal hall :

Length(l) = 15 m

Breadth (b) = 10 m

Height (h) = 7 m

Now, as Daniel is painting the walls and ceiling of the hall, so total area to be painted is the sum of area of 4 walls and area of ceiling.

Area of 4 walls = LSA of cuboidal hall

LSA of cuboid = 2h(l + b)

Area of ceiling = lb

Therefore,

⇒ Total area = Area of 4 walls + Area of ceiling

⇒ Total area = 2 × 7(15 + 10) + 15 × 10

⇒ Total area = 14 × 25 + 150

⇒ Total area = 350 + 150

⇒ Total area = 500 m²

Now, from each can 100 m² of area can be painted.

⇒ Number of cans required = Total area/Area of each can

⇒ Number of cans required = 500m²/100m²

∴ Number of cans required = 5

Answer 2

Answer:

Given :-

• Daniel is painted the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can paint of 100 m² of area is painted.

To Find :-

• How many cans of paint will she need to paint the room.

Formula Used :-

✯ Area of cuboidal hall = 2(l + b)h + lb ✯

where,

• l = Length
• b = Breadth
• h = Height

Solution :-

Given :

• Length = 15 m
• Breadth = 10 m
• Height = 7 m

According to the question by using the formula we get,

⇒ Area = 2(15 + 10) × 7 + 15 × 10

⇒ Area = 2 × 7 × 15 + 10 + 15 × 10

⇒ Area = 14 × 25 + 150

⇒ Area = 350 + 150

➠ Area = 500 m²

Hence, the area of the cuboidal hall is 500 m².

Now, we have to find the number of cans of paint will she need to paint the room,

If, cans required to painted at 100 m² = 1 m²

Then, cans required to painted 500 m² will be,

↦ 500/100

↦ 50/10

↦ 5/1

➦ 5

∴ The number of cans of paint will she need to paint the room is 5 .