Question

The volume of a rectangular tank, with a square base, is 5408 cubic metres. Its height is 32 metres. Determine the length of an edge of one of the square bases.

Answer 1

13 m

Explanation

The volume of a square prism is calculated as follows:

`V=a^2h`

where a is the base edge and h is the height of the prism.

Substituting V = 5408 cubic meters and h = 32 m, and solving for a:

`\begin{gathered} 5408=a^2\cdot32 \\ (5408)/(32)=(a^2\cdot32)/(32) \\ 169=a^2 \\ √(169)=√(a^2) \\ 13\text{ m}=a \end{gathered}`