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