Question

There are two cube-shaped tanks. One of the tank has a 3 m side, while the other one has a side measuring half of the first one. Which tank can store more water and why

Answer 1

Answer: The tank which has 3 m side.

Step-by-step explanation: A cube is a form that has equal sides. To calculate the volume of it, multiply all three sides:

V = length*width*height

Since they are all the same, volume will be:

V = s³

One tank has a 3 m side, so its volume is:

V = 3³

V = 27 m³

The other has half of the first one side, then s = $\frac{3}{2}$ and volume will be:

V = $(\frac{3}{2})^{3}$

V = $\frac{27}{8}$ m³

As you can see, the volume of the second tank is $\frac{1}{8}$ smaller than the first one. Therefore, the tank which has 3 m side can store more water than the  tank with side measuring half of the first.