Question

the volume of cuboid is (3x^2+27), then find total surface area of cuboid​

Answer 1

Answer:

2x²+12x-18

Step-by-step explanation:

Volume of cuboid = lbh = 3x²+27

= 3(x²-9) = 3(x-3)(x+3)

So, l = 3, b = x-3, h = x+3 - (1)

Surface area of cuboid = 2 (lh + lb + bh) - (2)

Substitute (1) in (2)

=> 2[3(x+3)+3(x-3)+(x-3)(x+3)]

=> 2[3x + 9 + 3x - 9 + x² - 9]

=> 2[x²+6x-9]

=> 2x²+12x-18