To what height in metres must a tank be built to store 27.3 kL of liquid if the base is 4 m by 4.2 m?

To determine the height at which a tank must be built to store a specific volume of liquid, you can use the formula for the volume of a rectangular prism (which is the shape of the tank). The volume formula is:

Volume = Length × Width × Height.

In this case, the length and width of the base of the tank are provided as 4 m and 4.2 m, respectively. First, convert the volume of the liquid to cubic meters, as it is given in kiloliters.

1 kiloliter is equivalent to 1 cubic meter, which means 27.3 kL is equal to 27.3 m³.

Now, using the volume formula, we can isolate the height:

Height = Volume / (Length × Width).

So, we can substitute in the known values:

Height = 27.3 m³ / (4 m × 4.2 m) = 27.3 m³ / 16.8 m².

Calculating this gives:

Height = 27.3 / 16.8 = 1.625 m.

This accurately reflects how high the tank must be constructed to accommodate the 27.3 kL of liquid. The correct answer corresponds to