Question

Darrin needs to calculate the length of the sides of water tank that will be in shape of a cube. The tank must hold 343 cubic meters of water . How long should the sides be

Answer 1

According to the information given in the exercise:

- The water tank will be in the shape of a cube.

- It must hold this volume of water:

`V=343^{}m^3`

In order to solve the exercise, you need to remember the formula for calculating the volume of a cube:

`V=a^3`

Where "a" is the length of any edge of the cube.

In this case, knowing the volume of the tank, you can substitute it into the formula and solve for "a", in order to find the length of its sides. Then, you get:

`\begin{gathered} 343^{}m^3=a^3 \\ \\ \sqrt[3]{343^{}m^3}=a \\ \\ a=7m \end{gathered}`

Hence, the answer is:

`7\text{ }meters`