SOLUTION: 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner.
a. Express the volume V of
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a. Express the volume V of
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Question 54909This question is from textbook Applied College Algebra
: 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner.
a. Express the volume V of the box as a function of x.
b. State the domain of V. This question is from textbook Applied College Algebra
You can put this solution on YOUR website! 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner.
a. Express the volume V of the box as a function of x.
b. State the domain of V.
Each side of the square would look like x--------x, if the length started out as 30 inches, then each side would be 30-2x.
V=L*W*H
The height is x.
Length and width are the same because it has a square base.
a.
b.Each dimension has to be greater than 0.
x>0 and 30-2x>0
30-2x>0
-30+30-2x>0-30
-2x>-30
-2x/-2<-30/-2
x<15in
Therefore is the domain.
Interval notation: (0,15in)
Happy Calculating!!!
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