You are planning to make an open rectangular box from a 10 by 18 cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. a. What are the dimensions of the box of largest volume you can make this way? b. What is its volume?

You are planning to make an open rectangular box from a 10 by 18 cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. a. What are the dimensions of the box of largest volume you can make this way? b. What is its volume?

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

What are the dimensions and volume of the box described in the image below?

You are planning to make an open rectangular box from a 10 by 18 cm piece of cardboard by
cutting congruent squares from the corners and folding up the sides.
a. What are the dimensions of the box of
largest volume you can make this way?
b. What is its volume?

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