Question

Calculati volumul unui paralelipiped dreptunghic care are diagonala de 13 cm si L,l si h direct proportionale cu nr 8,6 si 24.

Va rog repedeee!!!!!!!!!!!!!!!!!!!$$$$ #Match # Yes #Iamberlin​

Answer 1

d² = L² + l² + h²

L/8 = l/6 = h/24 = k

L = 8k

l = 6k

h = 24k

inlocuim

169 = 64k² + 36k² + 576k²

169 = 676k²

k² = 169/676

k = √169/√676

k = 13/26

k = 1/2

L = 8k = 8*1/2 = 4 cm

l = 6k = 6*1/2 = 3 cm

h =24k = 24*1/2 = 12 cm

V = L×l×h = 4cm×3cm×12cm = 144 cm³