Respuesta :
Answer: No, the Volume is x^3 - 3x^2 - 10x
Step-by-step explanation:
Since the volume of the cubic storage unit is x^3
Therefore,
Length = x
Width = x
Height = x
For the new storage unit
Length = x + 2
Width = x
Height = x - 5
Volume = ( x + 2)(x)(x -5)
V = x (x^2 -3x - 10)
V = x^3 - 3x^2 - 10x
Therefore, the volume of the new storage unit is x^3 - 3x^2 - 10x
Answer:the customer is incorrect
Step-by-step explanation:
In a cube, all 4 sides are equal. The volume of a cube that has x as the length of each side would be x^3
If the customer thinks that f the volume of the cube is x^3, it means that each side is x. Then the other storage unit offered to the customer is 2 feet longer,5 feet shorter than the first unit. Its dimensions would be (x+ 2) feet, (x - 5) feet and x feet
The volume of the other storage unit should be
x[(x + 2)(x - 5)] = x(x^2 - 5x + 2x + 10)
= x(x^2 - 3x + 10)
= x^3 - 3x^2 + 10x