Question

Ребро бака кубической формы 14 дм. Сколько литров воды вмещает бак? Ответ округли ло десятых.

Answer 1

Найдем объем бака кубической формы:
V=a^3=14^3=2744 дм³
1 дм³=1 л
2744 дм³= 2744л=

Answer 2

Calculation of the Volume of a Cubic-shaped Tank

To calculate the volume of a cubic-shaped tank, we need to know the length of one side of the tank, which is given as 14 dm.

The volume of a cubic-shaped tank can be calculated by multiplying the length of one side by itself twice. In this case, the volume can be calculated as follows:

Volume = side length * side length * side length

Substituting the given value of the side length (14 dm) into the formula, we get:

Volume = 14 dm * 14 dm * 14 dm

Simplifying the calculation, we have:

Volume = 14 * 14 * 14 cubic dm

Conversion from Cubic Decimeters to Liters

To convert the volume from cubic decimeters (dm^3) to liters (L), we need to know that 1 cubic decimeter is equal to 1 liter.

Therefore, the volume of the tank in liters is equal to the volume in cubic decimeters.

Calculation

Using the previously calculated volume of the tank in cubic decimeters (14 * 14 * 14 cubic dm), we can conclude that the tank can hold 14 * 14 * 14 liters of water.

Simplifying the calculation, we have:

Volume = 14 * 14 * 14 liters

Volume = 2744 liters

Therefore, the tank can hold approximately 2744 liters of water.

Please note that the answer has been rounded to the nearest tenth, as requested.