A two gallon container had all of its dimensions tripled. How many gallons does the new container hold?

Question

Danna Lamb

Mathematics

16 March, 02:36

A two gallon container had all of its dimensions tripled. How many gallons does the new container hold?

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Answers (1)

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Cullen Doyle · Answer 1

8

Step-by-step explanation:

In this situation if the two gallon container will have all of its dimensions tripled, then that means the the volume of the container will also get tripled.

When all the dimensions of a shape are changed, the volume will then also change accordingly.

Since the original container held 2 gallons, we will then solve for the value by simply raising 2 to the power of 3.

2³ = 8

Now why did we raise the number of gallons by three instead of multiplying it directly by 3?

We did that, because we need to consider that the entire container had all of its dimensions tripled. When a shapes dimensions are all increased, this means that it will grow exponentially.