SOLUTION: having trouble understand1ng the following = the floor area of a building is 2 square kilometers & the volume is 1 cubic kilometer. What is the height? The answer given in the tex

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Question 880992: having trouble understand1ng the following = the floor area of a building is 2 square kilometers & the volume is 1 cubic kilometer. What is the height? The answer given in the textbook is .5km.....I can't get that result & am trying to explain it to my granddaughter.
Found 2 solutions by josgarithmetic, KMST:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Base area is known, and volume is known.

%28BaseArea%29%2A%28Height%29=%28Volume%29

%28BaseArea%2AHeight%29%2FBaseArea=Volume%2FBaseArea

Height=Volume%2FBaseArea

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I cannot even imagine a building that large.

We do not know the shape of the floor plan, but it does not matter.
Apparently the height of the building is the same at all points.
We can imagine that the building is shaped like a box, with a rectangular flooe plan, and a flat horizontal roof.
A floor surface area of 2 square kilometers could mean that the building is 2 kilometers long and 1 kilometer wide.
The volume of a box is calculated by multiplying length time width (to get the surface area of the base), and then multiplying times the height.
In this case,
(2 square kilometers)(height in kilometers) = 1 cubic kilometer
Without writing the units
2%28height%29=1 so height=1%2F2 or height=0.5
So the height of the building is
1%2F2km , or 0.5km , or 500m .
The building could look like this: