Question

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 >

Answer 1

Step-by-step explanation:

The volume of the container = 72 cubic ft

The container is a rectangular prism.

The formula for volume of rectangular prism:

`\text{Volume = length }*\text{ width }*\text{ height}`

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

`\begin{gathered} 72\text{ = 3 }*\text{ 24} \\ 72\text{ = 3 }*\text{ 4 }*\text{ 6} \\ \text{The possible dimensions can be:} \\ 3\text{ ft }*\text{ 4ft }*\text{ 6ft} \end{gathered}`
`\begin{gathered} 72\text{ = }2\text{ }*\text{ 36} \\ 72\text{ = 2 }*4\text{ }*\text{ 9} \\ \text{The possible dimensions:} \\ 9ft\text{ }*\text{ 4ft }*\text{ 2ft} \end{gathered}`