The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
Hmmm the easiest way I can imagine to explain this is as follows:
4 times 3 is like 3 added to itself 4 times.
so 4×3= 3+3+3+3= 12. I'm not sure if that's what you meant by drawing a model though.
The answer is B, because 0.06*45000 + 0.08(51000-45000) = 3,180
Answer:
y = 
- 2
Step by step explanation:
You use the slope intercept form equation: y = mx + b
m is the slope, and b is the y intercept
Hope this helps!
The answer is A because the x is on the other side of the equation
