Given 2 rectangular prisms: 1st (1mxx2mxx2m) 2nd (1mxx2mxx4m) Find the combined V.

SchachtN 2021-08-12 Answered
Given 2 rectangular prisms:
1st \(\displaystyle{\left({1}{m}\times{2}{m}\times{2}{m}\right)}\)
2nd \(\displaystyle{\left({1}{m}\times{2}{m}\times{4}{m}\right)}\)
Find the combined V.

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Expert Answer

l1koV
Answered 2021-08-13 Author has 2889 answers
\(\displaystyle{\underset{{\bot{h}}}{{{V}}}}={\underset{{{1}}}{{{V}}}}+{\underset{{{2}}}{{{V}}}}\)
\(\displaystyle{V}={a}{b}{c}\)
Where a, b and c are the length, width and hight.
\(\displaystyle{\underset{{{1}}}{{{V}}}}={1}\times{2}\times{2}={4}{m}^{{3}}\)
\(\displaystyle{\underset{{{2}}}{{{V}}}}={1}{m}\times{2}{m}\times{4}{m}={8}{m}^{{3}}\)
\(\displaystyle{\underset{{\bot{h}}}{{{V}}}}={4}{m}^{{3}}+{8}{m}^{{3}}\)
\(\displaystyle={12}{m}^{{3}}\)
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