Answer:
A. 3:7
Step-by-step explanation:
The volume of the smaller cube is 216 m³.
The volume of the larger cube is 2744 m³
Let the similarity ratio be [tex]l:L[/tex]
The volume of these two cubes are in the ratio:
[tex]l^3:L^3=216:2744[/tex]
This implies that:
[tex](\frac{l}{L})^3 =\frac{216}{2744}[/tex]
We take the cube root of both sides to obtain:
[tex]\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}[/tex]
[tex]\frac{l}{L} =\frac{6}{14}[/tex]
This simplifies to:
[tex]\frac{l}{L} =\frac{3}{7}[/tex]
Therefore the ratio is 3:7
