Question

СРОЧНО 20БАЛЛОВ комнату длиной 8 м шириной 6 м высотой 3,5 м надо поклеить обоями сколько рулонов обоев потребуется если ширина обоев в рулоне 80 см, длина 20м На швы и отходы 10% от всех рулонов

Answer 1

Calculation of Wallpaper Rolls Needed

To calculate the number of wallpaper rolls needed to cover a room, we need to consider the dimensions of the room, the dimensions of the wallpaper rolls, and account for waste due to seams and trimming.

Given: - Room length: 8 m - Room width: 6 m - Room height: 3.5 m - Wallpaper roll width: 80 cm - Wallpaper roll length: 20 m - Waste allowance: 10% of all rolls

To calculate the number of rolls needed, we can follow these steps:

1. Calculate the total area of the walls: - The room has four walls, so we need to calculate the area of each wall and sum them up. - The area of a rectangular wall is given by the formula: Area = Length x Height. - Since we have four walls, the total area of the walls is: Total Area = 2 x (Length x Height + Width x Height).

2. Calculate the area covered by each roll: - The area covered by each roll is given by the formula: Roll Area = Roll Width x Roll Length.

3. Calculate the number of rolls needed: - Divide the total area of the walls by the area covered by each roll. - Round up the result to the nearest whole number to account for partial rolls. - Add an additional 10% for waste.

Let's calculate the number of rolls needed:

1. Calculate the total area of the walls: - Length: 8 m - Width: 6 m - Height: 3.5 m

Total Area = 2 x (8 m x 3.5 m + 6 m x 3.5 m) = 2 x (28 m² + 21 m²) = 2 x 49 m² = 98 m²

2. Calculate the area covered by each roll: - Roll Width: 80 cm (convert to meters: 80 cm / 100 = 0.8 m) - Roll Length: 20 m

Roll Area = 0.8 m x 20 m = 16 m²

3. Calculate the number of rolls needed: - Divide the total area of the walls by the area covered by each roll. - Round up the result to the nearest whole number to account for partial rolls. - Add an additional 10% for waste.

Number of Rolls = (Total Area / Roll Area) x 1.1 = (98 m² / 16 m²) x 1.1 = 6.125 x 1.1 ≈ 6.74

Therefore, approximately 6.74 rolls of wallpaper will be needed to cover the room. Since we cannot have a fraction of a roll, we will need to round up to the nearest whole number. Thus, a total of 7 rolls of wallpaper will be required.

Please note that the waste allowance of 10% has already been factored into the calculation.

I hope this helps! Let me know if you have any further questions.