Question

Hello! I don't quite understand this question. It says this: "Cube A has an edge length of 2 and cube B has an edge length of 6. How many times greater is the volume of cube B than cube A? "

Answer 1

27 times greater.

Step-by-step explanation:

Cube A has an edge length of 2

`\begin{gathered} \text{Volume of cube A=}2^3 \\ =8\text{ cubic units} \end{gathered}`

Cube B has an edge length of 6

`\begin{gathered} \text{Volume of cube B=6}^3 \\ =216\text{ cubic units} \end{gathered}`

Next, we determine by how many times greater the volume of cube B than cube A.

`\begin{gathered} \frac{\text{Volume of Cube B}}{\text{Volume of Cube A}}=(216)/(8) \\ =27 \end{gathered}`

The volume of cube B is 27 times greater than cube A.