Вопрос:

Calculate the cost of repairing the walls and ceiling of the room shown in Figure 6.27 (all dimensions are in meters).

Смотреть решения всех заданий с листа

Ответ:

Analysis of the task:

The task requires calculating the total cost of repairing a room, which includes the cost of materials and labor. The room dimensions are given in a diagram, and two tables provide information about the materials (name, packaging, consumption, price) and labor (type of work, unit of measurement, quantity, price). To solve this, we need to calculate the area of the walls and ceiling, determine the quantity of materials needed based on their consumption rates and prices, calculate the cost of labor based on the provided rates, and sum all costs.

Calculations:

1. Room Dimensions:

Length (L) = 5.4 m

Width (W) = 3.5 m

Height (H) = 2.6 m

2. Area Calculations:

  • Ceiling Area (A_ceiling): L * W = 5.4 m * 3.5 m = 18.9 m2
  • Wall Area (A_walls): 2 * (L * H) + 2 * (W * H) = 2 * (5.4 m * 2.6 m) + 2 * (3.5 m * 2.6 m) = 2 * 14.04 m2 + 2 * 9.1 m2 = 28.08 m2 + 18.2 m2 = 46.28 m2
  • Total Area for painting/plastering: A_ceiling + A_walls = 18.9 m2 + 46.28 m2 = 65.18 m2
  • Area for puttying walls: From table, 'Подготовка стен под покраску. Шпатлёвка.' is M2, assuming it's the same as wall area: 46.28 m2.
  • Area for puttying ceiling: From table, 'Подготовка потолков под покраску. Шпатлёвка.' is M2, assuming it's the same as ceiling area: 18.9 m2.
  • Area for priming ceiling: From table, 'Грунтовка потолков' is M2, assuming it's the same as ceiling area: 18.9 m2.
  • Area for priming walls: From table, 'Грунтовка стен' is M2, assuming it's the same as wall area: 46.28 m2.
  • Area for painting ceiling: From table, 'Покраска потолков' is M2, assuming it's the same as ceiling area: 18.9 m2.
  • Area for painting walls: From table, 'Покраска стен' is M2, assuming it's the same as wall area: 46.28 m2.
  • Length for ceiling plinth: The diagram shows a plinth length of 10 m.

3. Material Cost Calculation:

  • Шпатлёвка (Putty):
    • Consumption: 0.9 kg/m2
    • Area: 46.28 m2 (walls) + 18.9 m2 (ceiling) = 65.18 m2
    • Total putty needed: 65.18 m2 * 0.9 kg/m2 = 58.662 kg
    • Price: 320 (per bag, assuming bag is 20 kg)
    • Number of bags needed: ceil(58.662 kg / 20 kg/bag) = ceil(2.9331) = 3 bags
    • Cost of putty: 3 bags * 320 = 960
  • Грунтовка (Primer):
    • Consumption: 0.2 - 0.35 kg/m2. Let's use an average of 0.275 kg/m2.
    • Area: 65.18 m2
    • Total primer needed: 65.18 m2 * 0.275 kg/m2 = 17.9245 kg
    • Price: 835.36 (per bucket, assuming bucket is 5 kg)
    • Number of buckets needed: ceil(17.9245 kg / 5 kg/bucket) = ceil(3.5849) = 4 buckets
    • Cost of primer: 4 buckets * 835.36 = 3341.44
  • Краска для стен и потолка (Paint for walls and ceiling):
    • Consumption: 10 kg/m2
    • Area: 65.18 m2
    • Total paint needed: 65.18 m2 * 10 kg/m2 = 651.8 kg
    • Price: 872 (per bucket, assuming bucket is 11 kg)
    • Number of buckets needed: ceil(651.8 kg / 11 kg/bucket) = ceil(59.2545) = 60 buckets
    • Cost of paint: 60 buckets * 872 = 52320
  • Плинтус потолочный (Ceiling plinth):
    • Length needed: 10 m
    • Price: 48 (per meter)
    • Cost of plinth: 10 m * 48 = 480
  • Клей для плинтуса (Plinth adhesive):
    • Usage: 1 tube for 10 m
    • Length needed: 10 m
    • Number of tubes needed: 1 tube
    • Price: 205 (per tube)
    • Cost of adhesive: 1 tube * 205 = 205

4. Labor Cost Calculation:

  • Подготовка потолков под покраску. Шпатлёвка (Ceiling prep for painting. Putty):
    • Unit: m2
    • Quantity: 18.9 m2
    • Price: 250
    • Cost: 18.9 * 250 = 4725
  • Грунтовка потолков (Ceiling priming):
    • Unit: m2
    • Quantity: 18.9 m2
    • Price: 70
    • Cost: 18.9 * 70 = 1323
  • Покраска потолков (Ceiling painting):
    • Unit: m2
    • Quantity: 18.9 m2
    • Price: 200
    • Cost: 18.9 * 200 = 3780
  • Подготовка стен под покраску. Шпатлёвка (Wall prep for painting. Putty):
    • Unit: m2
    • Quantity: 46.28 m2
    • Price: 250
    • Cost: 46.28 * 250 = 11570
  • Грунтовка стен (Wall priming):
    • Unit: m2
    • Quantity: 46.28 m2
    • Price: 70
    • Cost: 46.28 * 70 = 3239.6
  • Покраска стен (Wall painting):
    • Unit: m2
    • Quantity: 46.28 m2
    • Price: 200
    • Cost: 46.28 * 200 = 9256
  • Установка потолочного плинтуса (Ceiling plinth installation):
    • Unit: M
    • Quantity: 10 m
    • Price: Assuming the price listed is for installation per meter. Looking at the table, the last row is 'Установка потолочного плинтуса' with 'M' as unit of measurement. However, there is no price listed in the visible part of the table. Let's assume there's a price for this service, but it's not visible. We will proceed without it. If the price for installation was visible, it would be: 10m * Price_per_meter. Since the price is missing, we will calculate the total cost of materials and visible labor.

5. Total Cost:

  • Total Material Cost: 960 (putty) + 3341.44 (primer) + 52320 (paint) + 480 (plinth) + 205 (adhesive) = 57306.44
  • Total Visible Labor Cost: 4725 (ceiling prep) + 1323 (ceiling prime) + 3780 (ceiling paint) + 11570 (wall prep) + 3239.6 (wall prime) + 9256 (wall paint) = 33893.6
  • Grand Total (excluding plinth installation labor): 57306.44 (materials) + 33893.6 (labor) = 91200.04

Note: The price for the installation of the ceiling plinth is not provided in the image, so it is excluded from the total calculation. The calculation for paint and primer assumes the quantities are for one layer of application.

Ответ: Общая стоимость ремонта (без учета установки плинтуса) составляет 91200,04 руб.

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