Asked by Reza
Given a 10 cm by 20 cm piece of paper, if you cut out four equal squares from the corners and fold up the resulting sides you will create an open box. Write an expression for the volume of this box in terms of the side length of each cut‐out square, x.
Answers
Answered by
Reiny
original: 10 cm by 20 cm
after cutting x cm at the corners
new length = 20 - 2x
new width = 10 - 2x
height = x
volume = x(10-2x)(20-2x) , 0 < x < 10
after cutting x cm at the corners
new length = 20 - 2x
new width = 10 - 2x
height = x
volume = x(10-2x)(20-2x) , 0 < x < 10
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