Question

Fluids:The density of water is 997 kg/m3.What size of cubic tank would you need in order to hold 238 kg of water? (Hint: Volume of cube = length3) Find the length of one side (in meters)

Answer 1

Length = 0.62 meters

Step-by-step explanation:

We are given;

• Density of water 997 kg/m³
• Mass of water is 238 kg

We are required to calculate the length

Step 1: Calculate the Volume of the cube

We know that density = Mass/volume

Therefore;

Volume = Mass ÷ density

Thus;

Volume of the cube = 238 kg ÷ 997 kg/m³

= 0.239 m³

Step 2 : Calculate the length of the cube

The volume of the cube is given by;

Volume = (Length)³

Therefore;

Length = Cube root of Volume

Thus;

`Length=\sqrt[3]{0.239}`

`Length=0.62m`

Therefore, the length of the cube is 0.62 meters