Question

1. Сравните объемы тел. Есть ли среди них равные? V1= 0,5 м3; V2 = 5000мл; V3 = 500дм3; V4= 0,5 л.2. Расположите в порядке убывания следующие площади: S1= 300см2, S2 = 6,78 дм2, S3 = 0,020м2.3. В пустой плавательный бассейн влили V = 2500 м3 воды. При этом ее уровень поднялся до отметки h = 25 дм. Определите площадь дна бассейна. Ответ: 1000м24. Предложите способ измерения площади столешницы одним измерением.

Answer 1

1) V1 = 0,5 м3

V2 = 0,005 м3

V3 = 0,5 м3 

V4 = 0,0005 м3

V1=V3.      V1=V3 > V2 > V4

2) S1 = 0,03 м2

S2= 0,0678 м2

S3= 0,02 м2

S2, S1, S3

3)  V=Sдна х h

Sдна= V/h=  2500/2.5 = 1000 м2

4)Можно измерить линейкой)

Например: длинна - 100 см, ширина - 70 см

S= 100 x 70 = 7000 см2 

Answer 2

Comparing Volumes:

The given volumes are: - V1 = 0.5 m^3 - V2 = 5000 ml - V3 = 500 dm^3 - V4 = 0.5 l

To compare these volumes, let's convert them to a consistent unit for easier comparison.

1. Converting Volumes to a Consistent Unit: - 1 m^3 = 1000 dm^3 - 1 m^3 = 1,000,000 ml - 1 dm^3 = 1000 ml - 1 l = 1000 ml

Therefore: - V1 = 0.5 m^3 = 500 dm^3 - V2 = 5000 ml = 5 dm^3 - V3 = 500 dm^3 - V4 = 0.5 l = 500 ml

Now, we can compare the volumes: - V1 = 500 dm^3 - V2 = 5 dm^3 - V3 = 500 dm^3 - V4 = 500 ml

Among the given volumes, V1 and V3 are equal at 500 dm^3.

Ordering Areas:

The given areas are: - S1 = 300 cm^2 - S2 = 6.78 dm^2 - S3 = 0.020 m^2

To order these areas in decreasing order: - Convert all areas to a consistent unit.

1. Converting Areas to a Consistent Unit: - 1 m^2 = 10,000 cm^2 - 1 m^2 = 100 dm^2

Therefore: - S1 = 300 cm^2 = 0.03 m^2 - S2 = 6.78 dm^2 = 0.678 m^2 - S3 = 0.020 m^2

Now, we can order the areas: - S2 = 0.678 m^2 - S1 = 0.03 m^2 - S3 = 0.020 m^2

In decreasing order, the areas are: S2, S1, S3.

Calculating Pool Bottom Area:

Given: - Volume of water (V) = 2500 m^3 - Rise in water level (h) = 25 dm

To calculate the pool's bottom area (A): - Use the formula: A = V / h

Substituting the given values: A = 2500 m^3 / 25 dm = 1000 m^2

The area of the pool's bottom is 1000 m^2.

Measuring Tabletop Area:

One way to measure the area of a tabletop with a single measurement is by using a laser distance measurer. By measuring the length and width of the tabletop using a laser distance measurer, the area can be calculated by multiplying the length and width measurements together.

I hope this helps! If you have any more questions, feel free to ask.