Question

A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your reasoning. Since the density of water is g/cm3, then the volume of 2,179 g of water is cm3. A cubic box with a volume of cm3 is cm on each side. Converting cm to meters, the cube is m on each side.

Answer 1

Answer:

$l\approx 1.296\,cm$

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

$l = \sqrt[3]{2.179\,m^{3}}$

$l\approx 1.296\,cm$