Answer:
27 cubic ft
Step-by-step explanation:
The formula for volume is Base * Height * Width;
and the formula for area is Base * Height.
This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.
54 ft / 6 walls = 9 ft per wall
With the area of each wall you can find the base and height:
base * height = area
base = height ..... b*h ..... b*b=area ..... b^2 = area ... b = sqrt(area)
b = sqrt(9) = 3
base = 3ft
height = 3ft
since: base=height=width
width = 3ft
volume = 3 * 3 * 3 = 3^3 = 27 ft^3
