A cubic tank holds 1,000kg of water. What are the dimensions of the tank in meters. Explain your reasoning.
Since it is a cube, all side lengths are the same. Call it x.
x^3 = 1000
The side length x would be the cube root of 1000. You know what that is, I'm sure.
To find the dimensions of the cubic tank in meters, we need to use the density of water and the given mass of water.
First, we need to understand that the density of water is approximately 1,000 kg/m³. This means that 1 cubic meter of water has a mass of 1,000 kg.
Given that the tank holds 1,000 kg of water, we can conclude that the volume of water it can hold is 1 cubic meter (1,000 kg ÷ 1,000 kg/m³ = 1 cubic meter).
Since it is a cubic tank, all sides have the same length. Therefore, the dimensions of the tank are 1 meter in length, 1 meter in width, and 1 meter in height.
So, the dimensions of the tank are 1 meter x 1 meter x 1 meter.