To paint one square meter of a wall, you need 2 kg of paint. Create an expression to calculate the amount of paint
To paint one square meter of a wall, you need 2 kg of paint. Create an expression to calculate the amount of paint (in kg) required to paint a wall measuring 4m 18m. How much paint is needed to paint the walls in a 12m 18m room if the ceiling height in the room is 4m?
For 1 m², 2 kg of paint is used, which means that to find how much paint will go to paint a wall measuring 4 m by 18 m, you need to find the area of this wall. To do this, we multiply its dimensions:
4 * 18 = 72 (m²) – wall area.
To find how much paint will be spent on painting it, we multiply the amount of paint by 1 m² by the area:
2 * 72 = 144 (kg) – the paint will go to paint this wall.
To find how much paint will go to paint a room, you need to find the area of the surface to be painted, for this you need to find the perimeter of the room and multiply it by the height of the walls:
P = (12 + 18) * 2 = 60 (m) – the perimeter of the room.
S = 60 * 4 = 240 (m²) – the surface area to be painted.
240 * 2 = 480 (kg) paint will be needed to paint the room.
Answer: 1) 144 kg; 2) 480 kg.