Box A has a volume of 32 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were tripled. What is the volume of Box B?

864 m3
288 m3
96 m3
32 m3

Respuesta :

caylus
Hello,

if k is the ratio =side of B/side of A=3
Area is multilpy by k²=9
Volume by k^3=27
Or 27*32=864 (m^3)

Answer A

The volume of Box B is 864m^3, when the volume of box A is 32 cubic meters and the volume of box B is three times the volume of box A.

We have given that,

Box A has a volume of 32 cubic meters.

Box B is similar to box A.

To create Box B, Box A's dimensions were tripled.

We have to determine the volume of Box B.

What is the ratio?

Ratio is the analytical tool that helps in determining the proportion of one variable over the another. It helps in taking decisions such as business decisions, construction decision, and many more.

Computation:

ratio =side of B/side if k is the ratio =side of B/side of A=3

The area is multiplied by:

k²=9Volume by k^3=27

Or

27*32=864 (m^3)

The volume of Box B is 864m^3, when the dimension of box B is triple the dimension of box A.

Therefore, option A. is correct.

To learn more about the ratio visit:

https://brainly.com/question/2328454

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