You! (i already got 4/7 marks for writing btw! ) : x²+12x-220=0-0x²+12x-220(x−10)(x+22 )

V = 4(x+1)(x + 11) = 924 → ( divide both sides by 4)

(x + 1)(x + 11) = 231  → ( expand and rearrange )

x² + 12x + 11 - 231 = 0

x² + 12x - 220 = 0 → ( factoring gives )

(x - 10)(x + 22) = 0 → ( equate each factor to zero and solve for x )

x - 10 = 0 ⇒ x = 10

x + 22 = 0 ⇒ x = - 22

but x > 0 ⇒ x = 10

dimensions of cuboid are 4 cm, 11 cm , 21 cm

check → 4 × 11 × 21 = 924 ' the volume of the cuboid '

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.