A tree service company put logs in the shape of a rectangular prism.However, it is supposed to snow, and the owner wants to cover the logs tokeep them dry. If the pile of logs c…

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asked Nov 11, 2023 22.6k views

1 Answer

Butternut · Answer 1 · 2023-11-15T11:52:38+0000

An example of a rectangular prism is given below

To get the minimum amount of material needed to cover the pile of logs, we will get the volume of the rectangular prism

The volume is calculated as:

$\text{Volume of prism = length}* breadth* height$

Thus, the minimum amount of material will be

$\begin{gathered} \text{Volume}=30\operatorname{cm}*12\operatorname{cm}*40\operatorname{cm} \\ \text{Volume}=14400\operatorname{cm}^3 \end{gathered}$

The minimum amount of material needed to cover the pile of logs will be 14400cm³