From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 40 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Use an equation to express the volume V of the box in terms of 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 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...
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From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 40 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Use an equation to express the volume V of the box in terms of x.

 
 
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