Question

The ratio of the side lengths of figure A and figure B is 1:3. If the volume of figure A

is 5 m^3, what is the volume of figure B?
45 m^3
30 m^3
135 m^3
15 m^3

Answer 1

D)15m³

Explanation:

the given ratio tells us that the Volume of figure-B is three times as much as the Volume of figure-A

so we acquire:

`\displaystyle A _{ \text{figure - B}} = A _{ \text{figure - A}} * 3`

substitute the given volume of the figure-A:

`\displaystyle A _{ \text{figure - B}} =5 {m}^(3) * 3`

simplify multiplication:

`\displaystyle A _{ \text{figure - B}} =15 {m}^(3)`

hence, our answer is D)