LucasGodber LucasGodber
  • 23-02-2021
  • Mathematics
contestada

I am not usre what the answer could be

I am not usre what the answer could be class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 28-02-2021

Answer:

[tex]x \le 5[/tex]

Step-by-step explanation:

Given

Shape: Cube

Dimensions: x, 3x and 2x

[tex]Volume < 900[/tex]

Required

Show that [tex]x \le 5[/tex]

First, calculate the volume

[tex]Volume = x * 3x * 2x[/tex]

[tex]Volume = 6x^3[/tex]

[tex]Volume < 900[/tex] becomes

[tex]6x^3 < 900[/tex]

Divide both sides by 9

[tex]x^3 < 150[/tex]

For [tex]x^3 < 150[/tex], the value of x as to be: 1, 2, 3, 4 or 5

Hence:

[tex]x \le 5[/tex]

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