An open box with a volume of 128 cm3 can be made by cutting a square of the same size from each corner of a square piece of metal 12 cm on a side and folding up the edges. What is the length of a side of the square that is cut from each corner?

An open box with a volume of 128 cm3 can be made by cutting a square of the same size from each corner of a square piece of metal 12 cm on a side and folding up the edges. What is the length of a side of the square that is cut from each corner?

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

Section9.1: Prisms, Area And Volume

Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

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Question

3) An open box with a volume of 128 cm3 can be made by cutting a square
of the same size from each corner of a square piece of metal 12 cm on a
side and folding up the edges. What is the length of a side of the square
that is cut from each corner?

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