Question

What is the similarity ratio of a cube with volume 216 m³ to a cube with volume 2744 m³

Answer 1

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 $l:L$

The volume of these two cubes are in the ratio:

$l^3:L^3=216:2744$

This implies that:

$(\frac{l}{L})^3 =\frac{216}{2744}$

We take the cube root of both sides to obtain:

$\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}$

$\frac{l}{L} =\frac{6}{14}$

This simplifies to:

$\frac{l}{L} =\frac{3}{7}$

Therefore the ratio is 3:7