Question

Varianta 8 , ex 9 va rog

Answer 1

Răspuns:

Explicație pas cu pas:

x + x + 1 + x + 2 = 36

3x = 36 - 3 = 33

x = 11

l = 11 cm

h = 12 cm

L = 13 cm

V = 11 * 12 * 13 = 1716 cm^3

Answer 2

Cele trei dimensiuni sunt:

$\it \ell,\ h=\ell+1,\ L=\ell+2$

Suma tuturor dimensiunilor este:

$\it 4\ell+4h+4L =36 \Rightarrow 4\ell+4(\ell+1)+4(\ell+2)=36 \Rightarrow 4\ell+4\ell+4+4\ell+8=36 \Rightarrow\\ \\ \Rightarrow12\ell+12=36|_{:12}\Rightarrow \ell+1=3 \Rightarrow \ell=2\ cm\\ \\ Dimensiunile\ sunt:\ \ell=2\ cm,\ h=3\ cm,\ L = 4\ cm\\ \\ \mathcal{V}=\ell\cdot h\cdot L=2\cdot3\cdot4=24\ cm^3$