Seawater

Seawater has a density of 1025 kg/m³, ice 920 kg/m³. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.

Correct answer:

x₂ =  2.0734 dm

Step-by-step explanation:

$$\begin{gathered} V_1=8\text{ l}\to {\text{dm}}^3=8\cdot 1{\text{dm}}^3=8{\text{dm}}^3 \\ {x}_1=\sqrt[3]{V_1}=\sqrt[3]{8}=2\text{ dm } \\ {V}_2={\displaystyle \frac{1025}{920}}\cdot V_1={\displaystyle \frac{1025}{920}}\cdot 8={\displaystyle \frac{205}{23}}\doteq 8.913{\text{dm}}^3 \\ {x}_2=\sqrt[3]{V_2}=\sqrt[3]{8.913}=2.0734\text{ dm} \end{gathered}$$

Try another example

Related math problems and questions:

• Ice floe
  What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m³.
• Tower model
  Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi
• Icerink
  Rectangular rink with dimensions of 68.7 m and 561 dm must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for the formation of ice when the volume of ice is 9.7% greater than the volume of water.
• Hollow sphere
  The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
• Ice and water
  We want to cover rectangular rink with dimensions of 55 m and 25 m with 4cm thick layer of ice. How many liters of water we need if after freezing water increases its volume by 10%?
• Iron sphere
  Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
• Cuboid 5
  Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m³).
• The body
  The body has dimensions of 2m, 2dm, and 10 cm. It weighs 28 kg. What is its density?
• Eiffel Tower
  Eiffel Tower in Paris is 300 meters high and is made of steel. Its weight is 8000 tons. How tall is the tower model made ​​of the same material if it weighs is 2.4 kg?
• Dried apples
  How many kilograms of fresh apples id needed to 120 kg of dried apples when from 0.4 tons of fresh apples we get 75 kg of dried apples?
• Lead cube
  Calculate the edge of the cube made ​​from lead, which weighs 19 kg. The density of lead is 11341 kg/m³.
• Aluminum wire
  Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle?
• Cork and swimming
  If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050kg/m³ and cork 300kg/m³. (Instructions: Let the human body and cork on a mixture with a density of 1000kg/m³. When you m
• Dynamometer
  What is the volume of a body that stretches a dynamometer in air, on which it is suspended by a force of 2.5 N, and if it is immersed in alcohol with a density of 800 kg/m ^ 3, does it tension the dynamometer with a force of 1.3 N?
• Freezer
  The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, 30 cm. A layer of ice of 23 mm thick was formed on the inner walls (and on the opening) of the freezer. How many liters of water will drain if we dispose the freezer?
• Gasoline
  How many liters of gas is in the tank if its weight 15.4kg. Specific density of gasoline is 770kg/m³.
• Sphere
  The surface of the sphere is 12100 cm², and the weight is 136 kg. What is its density?