Question

Аквариум имеет форму прямоугольного параллелепипеда, площадь основания которого равна 1250 см в квадрате. При заполнении аквариума 6 десятилитровыми вёдрами воды уровень воды находится в 12 см от края. Найдите объём аквариума.

Answer 1

1) 10 л * 6 = 60 л = 60 дм³ - налито воды.
2) V = S*(h-12) = 60
S = 1250 см³ = 1,25 дм³
3) h - 12 = V : S =60 : 1.25 = 48 см
4) h = 48 + 12 = 60 см = 6 дм - высота аквариума
5) V = S*h = 1.25 * 60 = 75 дм³ = 75 л - объем аквариума - ОТВЕТ
 

Answer 2

Calculation of the Volume of the Aquarium

To find the volume of the aquarium, we need to know the dimensions of the rectangular parallelepiped. The area of the base is given as 1250 cm². However, the height of the aquarium is not provided.

Let's assume the height of the aquarium is 'h' cm.

The formula to calculate the volume of a rectangular parallelepiped is:

Volume = Base Area × Height

Substituting the given values, we have:

Volume = 1250 cm² × h cm

Now, let's find the value of 'h' using the information provided.

The water level in the aquarium is 12 cm from the top edge. This means the height of the water in the aquarium is equal to the height of the aquarium minus 12 cm.

Therefore, the height of the water in the aquarium is 'h - 12' cm.

Since the water level is 12 cm from the top edge, the height of the water in the aquarium is also equal to the height of the aquarium minus the distance from the water level to the top edge.

Therefore, 'h - 12' cm is also equal to the distance from the water level to the top edge, which is 12 cm.

Setting up the equation:

h - 12 = 12

Solving for 'h', we find:

h = 24 cm

Now that we know the height of the aquarium is 24 cm, we can calculate the volume using the formula:

Volume = 1250 cm² × 24 cm

Calculating the volume:

Volume = 30,000 cm³

Therefore, the volume of the aquarium is 30,000 cm³.

Please let me know if there's anything else I can help you with!