shelby wants to paint the walls and ceiling of a rectangular room. (height:2.6cm, width:4.8cm, length:6.8cm)
type of paint size of paint can cost
wall paint 4L $24.95
1L $7.99
ceiling paint 4L $32.95
(one litre of paint covers 9.5 m)
a) what is the least amount of paint shelby can buy to paint the room (subtract 5m for the door and windows)
b) how much will the paint cost, including the amount of tax charged in your region?
Please check the room measurements. You seem to have miscopied the problem.
no they are right the height = 2.6m width = 4.8m length= 6.8 m
Wow, those rooms are pretty small even for a doll-house.
First off, when you check the measurements, at least read what you wrote before. You had them listed as cm, not m!
so, there are 4 walls:
2(4.8)(2.6) + 2(6.8)(2.6) = 60.32 m^2
and the ceiling: (4.8)(6.8) = 32.64
Subtract 5m^2 for the windows (presumably in the walls, not the ceiling; no mention was made of skylights) and we have
walls: 55.32 m^2
ceiling: 32.64 m^2
Since a liter of paint covers 9 m^2 (not 9 m!), that means we have to buy
6L of wall paint
4L of ceiling paint
To calculate the least amount of paint Shelby needs, we first need to find the total area of the walls and ceiling of the room, considering that there are doors and windows in the room.
First, let's find the area of the walls:
- The height of the room is given as 2.6 cm, width as 4.8 cm, and length as 6.8 cm.
- To find the area of a rectangular wall, we can multiply the width and height.
- Then, we multiply this result by 2 since there are two adjacent walls with the same width and height.
- Finally, we subtract the area of the doors and windows, which is given as 5 square meters.
Area of one wall = width * height
Area of two adjacent walls = 2 * (width * height)
Total area of the walls = 2 * (width * height) - 5
Second, let's calculate the area of the ceiling:
- The width and length of the room are given as 4.8 cm and 6.8 cm.
- To find the area of the ceiling, we can multiply the width and length.
Area of the ceiling = width * length
Now let's calculate the total area to be painted:
Total area to be painted = Total area of the walls + Area of the ceiling
Keep in mind that one liter of paint covers 9.5 square meters, so we can calculate the amount of paint needed.
a) To find the least amount of paint Shelby can buy to paint the room, we need to divide the total area to be painted by the coverage of one liter of paint.
Amount of paint needed (in liters) = Total area to be painted / Coverage of one liter of paint
b) To calculate the cost of the paint, we need to consider the size of the paint cans and their respective costs. Multiply the amount of paint needed by the cost per liter based on the size of the paint cans.
Paint cost = (Amount of paint needed x Cost per liter of wall paint) + (Amount of paint needed x Cost per liter of ceiling paint)
To include the tax charged in your region, you need to multiply the paint cost by the tax rate and add it to the paint cost.
Total paint cost including tax = Paint cost + (Paint cost x Tax rate)