The volume of a storage pod that is shaped like a cube is 1728 cubic feet what is the area of the floor space of the storage pod
1 answer:
Answer:
144 sq. ft.
Step-by-step explanation:
In order to find the area, we have to know the length of the sides.
Since the figure is a cube, the way that the volume was found was by multiplying one side length by itself two times.
s^3 = cube volume.
So, to find the length of one side, we have to find the cube root of the volume.
= 12
Now that we know the side length, we just need to multiply it by itself to find the area of the floor space.
12 * 12 = 144
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Let first consider the equations one by one and will be solving one by one ;
Multiplying both sides by y will lead ;
Now, consider the second equation which is ;
Multiplying both sides by x will yield
As LHS of both equations (i) and (ii) are same, so equating both will yield;
Multiplying both sides by 4 will yield
Dividing both sides by y will yield :
<em>Hence, the required answer is 16</em>