A cuboid with a volume of 374cm^3 has dimensions

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  

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: