SOLUTION: 2. A square of side length x is cut from each corner of a piece of tin that is 14 inches by 18 inches.
a)Draw a diagram for this problem, be sure to label all lengths of this pi
Algebra ->
Trigonometry-basics
-> SOLUTION: 2. A square of side length x is cut from each corner of a piece of tin that is 14 inches by 18 inches.
a)Draw a diagram for this problem, be sure to label all lengths of this pi
Log On
Question 1190623: 2. A square of side length x is cut from each corner of a piece of tin that is 14 inches by 18 inches.
a)Draw a diagram for this problem, be sure to label all lengths of this piece of tin.
b)The sides of the piece of tin are then folded up to form a box whose height is x inches. Write the volume V as a function of x ( V(x) = ...).
c)There are three values of x that make the volume equal to 0, what are these values? Are all three realistic? Why or why not?
d)What is the domain of V(x)? Answer by greenestamps(13200) (Show Source):
b) With squares of side length x cut off each corner of the piece of tin, the dimensions of the bottom of the box are 14-2x and 18-2x. The volume -- length times width times height -- is
c) The expression for the volume is equal to 0 for x=0, x=7, and x=9.
None of them is realistic -- a box with volume 0 is of no use.
d) All three dimensions should be positive numbers. However, mathematically, in determining the domain of the function, we need to allow dimensions that make the volume 0.
x>0
14-2x>0 --> x<7
18-2x>0 --> x<9
The "realistic" domain of V(x) is ; the mathematical domain is
