Question

How many liters of paint must you buy to paint the walls of a rectangular prism-shaped room that is 16 m by 14 m with a ceiling height of 8 m if 1 L of paint covers 40 m 2

? (Assume there are no doors or windows and paint comes in 1-L cans.) The amount of paint needed is liters. (Round up to the nearest integer as needed.)

Answer 1

In order to paint a room that is a rectangular prism with dimensions 16m by 14m with a ceiling height of 8m, where 1 litre of paint covers 40m2, you would need 12 cans of 1 litre paint.

Step-by-step explanation:

To solve the problem, first, we have to calculate the total surface area of the room's walls which is a rectangular prism shape. The formula for the lateral surface area of a rectangular prism is 2*(length + width) * height.

So, let's substitute the given numbers: 2*(16m + 14m)*8m = 480 m2.

Now we know that 1 litre of paint covers 40 m2, let’s divide the surface area by the area one litre of paint can cover to get how much paint we need: 480 m2 / 40 m2/L = 12 L.

So, considering each can of paint is 1 litre, you would need to buy 12 cans of paint to cover the entire room.

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