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
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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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