acertechiscool
acertechiscool acertechiscool
  • 23-04-2021
  • Mathematics
contestada

The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 2. Calculate the volume of the box.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-04-2021

9514 1404 393

Answer:

  6x^3 +22x^2 +24x +8

Step-by-step explanation:

The dimensions of the larger box are ...

  (x+2), (2x+2), and (3x+2)

The volume is the product of these dimensions.

  V = LWH

  V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)

  V = 6x^3 +22x^2 +24x +8

The volume of the box is 6x^3 +22x^2 +24x +8.

Answer Link

Otras preguntas

what event brought the United states into world war 1
Consider what conditions helped democratic movements succeed and what conditions caused difficulties for them. What do you think were their hardest challenges?
the fertile crescent is named after its
Which sentence is punctuated correctly? Don wore braces on both of his legs still; he was an avid runner. Don wore braces on both of his legs: still he was
Which of the following details is NOT key to understanding the mystery? a. A large crowd of men answered the Red-headed League’s advertisement. b. Wilson’s pawn
Which is the only court mentioned in the Constitution?
Based on the observations by the Persian historian Wassaf, why do you think the Mongols were such successful conquerors?
Which is the only court mentioned in the Constitution?
what is the african religon
If the point(x,√3/3)is on the unit circle, what is x?