Bill wants to paint the ceiling and four walls of his bedroom. The room is 6.0 m long, 3.0 m wide and 2.4 m high. Paint comes in 4 L cans. One litre of paint covers 10 m2.
What area does Bill need to paint?
How many cans of paint does Bill need?
ends = 2 * 2.4 * 3
sides = 2 * 2.4 * 6
ceiling = 6 * 3
add to get area =
divide by 40 to cans
To find the area that Bill needs to paint, we need to calculate the sum of the areas of the ceiling and all four walls.
The area of the ceiling can be calculated by multiplying the length and width of the room:
Ceiling Area = Length × Width
Substituting the given values, we have:
Ceiling Area = 6.0 m × 3.0 m
Similarly, the area of each wall can be calculated by multiplying the height of the room by the length or width, depending on how the wall is positioned. Since Bill has four walls, we need to calculate the area of each wall and sum them up.
Wall Area = 2 × (Length × Height) + 2 × (Width × Height)
Substituting the given values, we have:
Wall Area = 2 × (6.0 m × 2.4 m) + 2 × (3.0 m × 2.4 m)
Now, to find the total area that Bill needs to paint, we add the ceiling area and the wall area:
Total Area = Ceiling Area + Wall Area
With the calculated values, you can find the area that Bill needs to paint.
To determine how many cans of paint Bill needs, we divide the total area by the coverage of one liter of paint.
Number of cans = Total Area ÷ Coverage of one liter of paint
Given that one liter of paint covers 10 m², we can now calculate the number of cans Bill needs.