226k views
5 votes
What is the volume in m³ of a cubic tank if the edge is x+3 m​

User Dian
by
4.9k points

1 Answer

4 votes

Answer:

V = x³ + 9x² + 27x + 27

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

User Thaha Kp
by
3.9k points