IzukuYamazawa62308
IzukuYamazawa62308 IzukuYamazawa62308
  • 14-05-2021
  • Mathematics
contestada

what is the volume in m³ of a cubic tank if the edge is x+3 m​

Respuesta :

jimrgrant1 jimrgrant1
  • 14-05-2021

Answer:

V = x³ + 9x² + 27x + 27

Step-by-step explanation:

The volume (V) of the tank is calculated as

aV = s³ ( s is the side length )

V = (x + 3)³

   = (x + 3)(x + 3)(x + 3) ← expand 2nd/3rd factors using FOIL

   = (x + 3)(x² + 6x + 9) ← distribute

   = x³ + 6x² + 9x + 3x² + 18x + 27 ← collect like terms

   = x³ + 9x² + 27x + 27

 

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