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3 Check your notes! A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give two different sets of measurements that could be the dimensions of the container. Answers: a feet X feet x a feet feet X feet X feet >

3 Check Your Notes A Container Is Shaped Like A Rectangular Prism And Has A Volume Of 72 Cubic Feet Give Two Different Sets Of Measurements That Could Be The Di class=

Sagot :

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Explanation:

The volume of the container = 72 cubic ft

The container is a rectangular prism.

The formula for volume of rectangular prism:

[tex]\text{Volume = length }\times\text{ width }\times\text{ height}[/tex]

To get the posssible values of the containers dimention, we will find the factors of 72. Since the volume is a product of the dimensions

[tex]\begin{gathered} 72\text{ = 3 }\times\text{ 24} \\ 72\text{ = 3 }\times\text{ 4 }\times\text{ 6} \\ \text{The possible dimensions can be:} \\ 3\text{ ft }\times\text{ 4ft }\times\text{ 6ft} \end{gathered}[/tex][tex]\begin{gathered} 72\text{ = }2\text{ }\times\text{ 36} \\ 72\text{ = 2 }\times4\text{ }\times\text{ 9} \\ \text{The possible dimensions:} \\ 9ft\text{ }\times\text{ 4ft }\times\text{ 2ft} \end{gathered}[/tex]