Math CentralQuandaries & Queries


Question from renzo, a student:

A cubical tank contains 2048 cubic ft of water when HALF-FULL. Find the total area of the tank and the length of its diagonal

Hi Renzo,

If the tanks holds 2048 cubic feet when it is half full what is the volume of the entire tank? The volume of a cube of side length $L$ feet is $L^3$ cubic feet. What is the length of a side of your tank? What is the area of one face of the tank? How many faces are there? What is the total surface area of the tank?

To find the length of a diagonal you will need to use Pythagoras Theorem twice.


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