Question

What is the volume of this container?56 in3l in.2 in.56 in?4 in.4 in.64 in?4 in.64 in3

Answer 1

`\begin{gathered} we\text{ can compute the volume by } \\ \text{taking the whole reactagular prism} \\ \text{and rest the upper right corner (in red):} \\ \end{gathered}`
`\begin{gathered} \text{hence, the whole figure has volume} \\ 4\cdot4\cdot4=64in^3 \\ \text{the red part has volume} \\ 1\cdot2\cdot4=8in^3 \\ \text{hence the searched volume is} \\ 64-8=56in^3 \end{gathered}`
`\begin{gathered} \text{the volume of the bigger rectangle prism is} \\ 8\cdot10\cdot5=400in^3 \\ \text{now} \end{gathered}`
`\begin{gathered} \text{the volume of the smallet rectangle prism is} \\ 4\cdot4\cdot5=80in^3 \\ hence,\text{ the searched volume id} \\ 400-80=320in^3 \end{gathered}`