Mr. Xu bought a 120-square-meter new home in the urban area. After several months of “quick leaping,” the woodworker is now about to paint, and Mr. Xu has encountered a thorny problem.
“I heard that some of the 'guerrilla' masters are petty and cheap, and like to get some touches.” He was not allowed to use his own paint and latex paint. For this Mr. Xu found the relevant experts and hoped that the experts could help him calculate a material account.
“Trouble to help me figure out how much paint my house shoe and bookcase use, and how much latex paint is needed on the wall.” Mr. Xu was prepared, and he specifically brought two drawings, namely his own shoe and bookcase. Elevation chart with long and wide height data. Even the area of ​​its own walls and ceilings, Mr. Xu has estimated in advance, a total of 260 square meters.
Now, the experts sorted out ideas and listed the issues Mr. Xu needs to solve.
1. The total area of ​​ceilings and walls is 260 square meters. How much latex paint is needed?
2. The two shoe cabinets with self-made louver shape are 0.9 meters long, 0.3 meters wide and 1 meters high. How much paint is needed?
3. The self-made bookcase is 4.4 meters long and 2.4 meters high, with a row of glass doors in the middle. How much paint does the bookcase need to be brushed off?
A detailed analysis was given to the problem raised by Mr. Xu. Experts answered that the amount of paint used in ceilings and wall coverings was calculated by experts. According to the calculation, one kilogram of latex paint can brush about 10 square meters of wall surface. To calculate, 1/10 kilograms of latex paint is needed for every square meter of wall surface.
The ceiling and wall area of ​​Mr. Xu’s home is 260 square meters. According to the calculation of the brush, it takes about 260*1/10=26 kg. In general, the ceiling and the wall surface need to be brushed twice, so the amount of latex paint that Mr. Xu uses to paint the ceiling and wall is about 26*2=52 kilograms.
Calculate the amount of self-made shoe paint, there are the following two methods: Calculate the number of panels used by the shoe by the brush once calculation, 1 kilogram of paint can brush about 15 square meters of panel, that is, need to use per square meter panel 1/15 kg of paint is lost. So how many panels do the part of the shoe need to be painted? Let's assume that we use X panels. A panel has an area of ​​about 3 square meters. If we press the brush again, the paint volume of the shoe is about 1/15*3*X kg. According to the "three bases and two sides" calculation, the amount of primer and top coat is multiplied by 3 (pass) and 2 (pass) respectively, ie 1/15*3*X*3 kg and 1/15*3*X*2. kg.
Method 2: Calculate the area of ​​the panel that is painted according to needs. In addition to the back and the bottom, the top surface, front surface, and both sides need to be painted. The length, width and height of this shoe are 0.9 meters, 0.3 meters and 1 meter, respectively. Then, the areas of the top surface, the front surface, and the two sides are 0.9*0.3 square meters, 0.9*1 square meters, and 0.3*1*2 square meters, ie, 0.27 square meters, 0.9 square meters, and 0.6 square meters, respectively. Because the two doors of the shoe cabinet are shuttered, the amount of paint is relatively more, and the paint amount of these two doors is multiplied by a factor of 1.2. That is to say, brushing these two doors equals a panel of 0.9*1.2 square meters. .
According to the calculation of the brush, the paint amount of this shoe is 1/15*(0.27+0.9*1.2+0.6)=0.13 kg. Calculated on the basis of "three bases and two sides," the required amount of primer and top coat for this shoe is 0.39 kg and 0.26 kg, respectively.
Self-made paint for bookcases This bookcase has a length of 4.4 meters and a height of 2.4 meters. In addition to the upper and lower rows of doors and the inner side of the cabinet that can be seen through the glass, the paint needs to be painted. We can calculate the area of ​​the upper and lower rows of doors, 4.4*(2.4-1.2)=5.28 square meters. Although the middle row is glass, the corners of the glass and the inside of the cabinet visible through the glass need to be brushed. Paint, and the amount is relatively large, the total count is about 4 times the glass area, namely 4.4 * 1.2 * 4 = 21.12 square meters.
Therefore, according to the calculation of the brush, the paint volume of this self-made bookcase is about 1/15*(5.28+21.12)=1.76 kg. When calculated on the basis of three bases and two sides, the amounts of primer and topcoat were 5.28 kg and 3.52 kg, respectively.
About the amount of paint latex paint problem summed up two formulas, for everyone to refer to the wall paint dosage = 1/10 * total wall surface area * 2 (brush twice)
The amount of furniture primer = 1/15* the area to be painted *3 (three times)
The amount of furniture finishes = 1/15* The area to be painted *2 (brushed twice)
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