Question

A cuboid with a volume of 374 cm'has dimensions
2 cm, (x + 3) cm and (x + 9) cm.
Show clearly that x2 + 12x - 160 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.​
WILL MARK BRAINLIEASTT

Answer 1

Answer:

(x+3)(x+9)=x²+12x+27

2x²+24x+54=374

2x²+24x-320=0

x²+12x-160=0

x=-20 x=8  

2cm,(-20+3)cm,(-20+9)cm

L=2cm W=-17cm H=-11

Step-by-step explanation:

Expand (x+3) and (x+9) -----> x^2+12x+27

Multiply the answer by two 2x^2+24x+54

Move 374 to the side by taking away ----->54-374=320

Divide the whole equation by 2 ---> x^2+12x-160

Factorise