geometria solida

174

175.1

175.2

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$\small\text{Dati:}$

$\small a= 14\,cm;$

$\small b= a+5 = 14+5 = 19\,cm;$

$\small c= b-2 = 19-2 = 17\,cm;$

$\small \text{volume: \(V= a×b×c = 14×19×17 = 4522\,cm^3\).}$

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$\small\text{Dati:}$

$\small a+b= 23\,cm;$

$\small a-b= 5\,cm;$

$\small c= 8\,cm;$

$\small\text{somma e differenza tra a e b, quindi:}$

$\small a= \dfrac{23+5}{2} = \dfrac{28}{2} = 14\,cm;$

$\small b= \dfrac{23-5}{2} = \dfrac{18}{2} = 9\,cm;$

$\small\text{volume: \(V= a×b×c = 14×9×8 = 1008\,cm^3\).}$

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$\small\text{Dati:}$

$\small a= \dfrac{5}{6}b;$

$\small b= \dfrac{3}{5}c;$

$\small c= 20\,cm;$

$\small\text{quindi:}$

$\small b= \dfrac{3}{5}c = \dfrac{3}{\cancel5_1}×\cancel{20}^4 = 3×4 = 12\,cm;$

$\small a= \dfrac{5}{6}b = \dfrac{5}{\cancel6_1}×\cancel{12}^2 = 5×2 = 10\,cm;$

$\small\text{volume: \(V= a×b×c = 10×12×20 = 2400\,cm^3\).}$