An open box is to be constructed from a square sheet of cardboard measuring 30 centimetres by 30 centimetres. This is done by cutting out the shaded square areas indicated on the the diagram below, then folding along the dotted lines and then gluing the sides together. Find what dimension x will maximise the volume of the box and the corresponding maximum volume. 30 30 x x

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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An open box is to be constructed from a square sheet of cardboard measuring 30 centimetres
by 30 centimetres. This is done by cutting out the shaded square areas indicated on the
the diagram below, then folding along the dotted lines and then gluing the sides together.
Find what dimension x will maximise the volume of the box and the corresponding maximum
volume.
30
30
x
x
Transcribed Image Text:An open box is to be constructed from a square sheet of cardboard measuring 30 centimetres by 30 centimetres. This is done by cutting out the shaded square areas indicated on the the diagram below, then folding along the dotted lines and then gluing the sides together. Find what dimension x will maximise the volume of the box and the corresponding maximum volume. 30 30 x x
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