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Question
shape of a rectangular prism that measures $\frac{7}{2}$ feet by $\frac{3}{2}$ feet by $\frac{3}{2}$ feet. a manager correctly finds the volume of the container using a formula. an employee double - checks the calculation by packing the container full of bento boxes. use the drop - down menus to explain how both volume calculations compare. click the arrows to choose an answer from each menu. the manager can find the volume of the container using the formula choose.. the employee correctly determines that the container can be filled with choose.. bento boxes. he can find the volume of the container by multiplying the number of bento boxes that fill the container by the choose... of one bento box. the volume found by using the formula is choose.. the volume of the total number of bento boxes in the container.
Step1: Recall volume formula for rectangular prism
The volume formula for a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.
Step2: Understand employee's method
The employee fills the container with bento - boxes. If the number of bento - boxes is $n$ and the volume of one bento - box is $v$, then the volume of the container $V=n\times v$.
Step3: Compare the two methods
The volume calculated by the formula and the volume calculated by the bento - box method should be the same because both are measuring the amount of space inside the container.
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The manager can find the volume of the container using the formula $V = l\times w\times h$.
The employee correctly determines that the container can be filled with a certain number of bento boxes. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box.
The volume found by using the formula is equal to the volume of the total number of bento boxes in the container.