5. You are planning to make an open rectangular box from an 24-cm by 45-cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of the largest volume you can make this way, and 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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25. You are planning to make an open rectangular box
from an 24-cm by 45-cm piece of cardboard by
cutting congruent squares from the corners and folding up the sides. What are the
dimensions of the box of the largest volume you can make this way, and what is its
volume?
26. A rectangular plot of farmland will be bounded on one side by a river and on the other
three sides by a single strand electric fence. With 800 m of wire at your disposal, what
is the largest area you can enclose, and what are its dimensions?
Transcribed Image Text:25. You are planning to make an open rectangular box from an 24-cm by 45-cm piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of the largest volume you can make this way, and what is its volume? 26. A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single strand electric fence. With 800 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?
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