Respuesta :

Answer:

2 x 11  x 17  = L x W x H

Step-by-step explanation:

x² + 12 (8) - 160 = 0

8(8) + 96 -160 = 0

8(8) + 96 -160  

160 -160 = 0

x² + 12x -160 = 0  

x² + 8 × - 20 = 0  

(x +8) (x-20)

2( x+3 ) × (x+9) = 374

(x+3) × (x+9) = 374 ÷ 2

(x+3)× (x+ 9) = 187

x² = 184 - 9

x² = 175

x = 175/25

x = 8

Formula of Volume of Cuboid  

V = L ×W × H

V = 2 × (x+3) × (x+9)

2 ( 8+3 ) × ( 8+ 9)

2 (11) × (17)

x + 3 = 11

x + 9 = 17

Volume L × W × H

2 × 11 × 17 = 374cm³

satisfies the equation

dimensions of the cuboid

2  11  and  17