LORIINANGO
Answered

An open – topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece of cardboard. What is the height of the box will create a volume of 1008 cm3?​

Sagot :

LALABSUGO

Answer:

h=3

Step-by-step explanation:

l = 30-2x

w = 20-2x

h = x

v = 1008

V=lwh

1008 = (30-2x)(20-2x)(x)

1008 = (30-2x)(20x-2x²)

1008 = 4x³-100x²+ 600x

4x³-100x²-600x-1008 = 0

4x³/4 - 100x²/4 - 600x/4-1008/4 = 0/4

(x-3)(x²-22+84) =0

x = 3 , x = 11 +√37 ,11-√37

lets take x=3

l = 30-2(3) = 24

w =20-2(3) =14

h =3

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