Question

В аквариум в форме прямоугольного параллелепипе- да с площадью основания 5000 см2 и высотой 60 см налили 200 л воды. Найдите часть высоты аквари- ума, не занятую водой.

Answer 1

Пошаговое объяснение:

V=S×H=5000×60=300000куб.см-объем аквариума

1л=10см×10см×10см=1000куб.см

1000×200=200000куб.см -заполнено водой

300000-200000=100000куб.см-не заполнено водой

100000: 300000= 1/3 часть не заполн.водой

60× 1/3 =20см высоты не заполнено водой.

Answer 2

Calculation of the Unoccupied Height of the Aquarium

To find the part of the height of the aquarium that is not occupied by water, we need to subtract the height of the water from the total height of the aquarium.

Given: - Area of the base of the aquarium: 5000 cm² - Height of the aquarium: 60 cm - Volume of water filled in the aquarium: 200 liters

First, let's convert the volume of water from liters to cubic centimeters (cm³) since all the other measurements are in centimeters: - 1 liter = 1000 cm³ - Therefore, 200 liters = 200,000 cm³

Next, we can calculate the volume of the aquarium by multiplying the area of the base by the height: - Volume of the aquarium = Area of the base × Height - Volume of the aquarium = 5000 cm² × 60 cm - Volume of the aquarium = 300,000 cm³

Now, we can find the volume of the unoccupied part of the aquarium by subtracting the volume of water from the total volume of the aquarium: - Volume of unoccupied part = Volume of the aquarium - Volume of water - Volume of unoccupied part = 300,000 cm³ - 200,000 cm³ - Volume of unoccupied part = 100,000 cm³

Finally, to find the height of the unoccupied part, we divide the volume of the unoccupied part by the area of the base: - Height of unoccupied part = Volume of unoccupied part / Area of the base - Height of unoccupied part = 100,000 cm³ / 5000 cm² - Height of unoccupied part = 20 cm

Therefore, the part of the height of the aquarium that is not occupied by water is 20 cm.

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