Answer:
[tex]\frac{27}{8}m^3[/tex] or [tex]3.375m^3[/tex]
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.
[tex]13.5 m/6[/tex] = 2.25 or [tex]\frac{9}{4} m[/tex] per wall
With the area of each wall you can find the base and height:
base * height = area
[tex]b=\sqrt{\frac{9}{4} } = \frac{3}{2}[/tex]
base = [tex]\frac{3}{2}[/tex]m
height = [tex]\frac{3}{2}[/tex]m
since: base=height=width, the width also equals [tex]\frac{3}{2}[/tex]m
volume = [tex](\frac{3}{2})^3[/tex]= [tex]\frac{27}{8}[/tex]
sorry it took so long for you to get an answer
