Imagine you are working for Hasbro making Gummy Bear containers. On a day to day basis you fill up two different size containers with gummy bears. One of the containers is3.2 x 4.5 x 5.3 in dimensions and contains 334 gummy bears. The other is 8.0 x 7.1 x9.9 in dimensions. About how many gummy bears would fit in the box? Round to the nearestwhole number.

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Answer:

2446 gummy bears

Explanation:

Given 3.2 x 4.5 x 5.3 as the dimensions of the 1st container and the number of gummy bears it contains as 334, let's go ahead and determine the size of each gummy bear as seen below;

[tex]\begin{gathered} \text{Volume of the container}=3.2\times4.5\times5.3 \\ =76.32 \end{gathered}[/tex][tex]\begin{gathered} \text{Size of each gummy bear}=\frac{76.32}{334} \\ =0.2299 \end{gathered}[/tex]

Given 8.0 x 7.1 x 9.9 as the dimensions of the 2nd container, we can go-ahead and determine the number of gummy bears it will contain as seen below;

[tex]\begin{gathered} \text{Volume of 2nd container}=8.0\times7.1\times9.9 \\ =562.32 \end{gathered}[/tex][tex]\begin{gathered} \text{Number of gummy bears it can hold=}\frac{562.23}{0.2299} \\ =2446 \end{gathered}[/tex]

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