In the city of Birmingham, a building is being constructed called "The Cube." The sides of the building are 102 meters long, but the building will 'only' have a volume of 728,280 cubic meters. What would the volume of a true cube with these dimensions be?

Question

anonymous · Answer

the volume of a cube is 
$$V=s^3$$
where s is the length of a side

anonymous · Answer

if you want to know the actual height of the building,
you would have to assume that the base of the building is a square

in that case, the total area that the base covers or the square is 
$$A=s^2$$

and the volume would be the area of the base times height

$$V= A* h$$

rearranging the equation and solving for height would give you

$$h= \frac{V}{A}$$