SOLUTION: What is the total surface area of the walls of a hospital ward 5m long, 4m wide and 2.5m high. B)One litre of paint covers 15m^2. How many litres of paint will be needed to paint

Algebra ->  Surface-area -> SOLUTION: What is the total surface area of the walls of a hospital ward 5m long, 4m wide and 2.5m high. B)One litre of paint covers 15m^2. How many litres of paint will be needed to paint       Log On


   

Question 1193721: What is the total surface area of the walls of a hospital ward 5m long, 4m wide and 2.5m high.
B)One litre of paint covers 15m^2. How many litres of paint will be needed to paint the inside wall?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: 3 liters of paint

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Reason:

Refer to this post
https://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.1193720.html
where I detail how to find the surface area of the walls. The summary is that the total wall surface area is 45 square meters.

Since one liter of paint covers 15 square meters, this means we need 3 liters of paint to cover 45 square meters.

Think of it like the ratio
1 liter: 15 m^2
3*1 liter: 3*15 m^2
3 liters: 45 m^2

Or you could solve it using a proportion
(1 liter)/(15 m^2) = (x liters)/(45 m^2)
1/15 = x/45
1*45 = 15*x ... cross multiplying here
45 = 15x
15x = 45
x = 45/15
x = 3 liters of paint are needed
There are other ways to solve the proportion, and not to mention other pathways, so you have a few options to pick from.