Question

Hello! I think I have this one but want to be sure I did it correctly.

Answer 1

Step-by-step explanation:

Given;

We are given two cubes, a larger one with sides 14cm each and, a smaller one with sides 2cm each.

Required;

We are required to compare the edge length of the two cubes.

Step-by-step solution;

For a cube, we know that all three dimensions are the same measure. That is;

`\begin{gathered} Larger\text{ }cube: \\ Length=14cm \\ Width=14cm \\ Height=14cm \end{gathered}`
`\begin{gathered} Smaller\text{ }cube: \\ Length=2cm \\ Width=2cm \\ Height=2cm \end{gathered}`

We know that one cube with the smaller length can be placed side by side to form another cube with the larger length.

Hence, the comparison of both sides as a ratio would be;

`\begin{gathered} Larger:Smaller=14:2 \\ Divide\text{ }both\text{ }values\text{ }by\text{ }a\text{ }common\text{ }factor,\text{ }2: \\ Ratio=7:1 \end{gathered}`

ANSWER:

The third option is the correct answer.

`7:1`