Biology 12th Edition

Published by McGraw-Hill Education
ISBN 10: 0-07802-426-9
ISBN 13: 978-0-07802-426-9

Chapter 4 - Cell Structure and Function - Engage - Thinking Scientifically - Page 81: 3

Answer

Surface Area to Volume ratio of 1 mm cube is 6:1 Surface Area to Volume ratio of 2 mm cube is 3:1 The 2 mm cube has the smaller ratio

Work Step by Step

Calculating Total Surface Area= Height x Width x # of sides x # of cubes For 1 mm cube= 1 mm x 1 mm x 6 x 1= 6 mm^{2} For 2 mm cube= 2 mm x 2 mm x 6 x 1= 24 mm^{2} Calculating Total Volume= Height x Width x Length x # of cubes For 1 mm cube= 1 mm x 1 mm x 1 mm x 1= 1 mm^{3} For 2 mm cube= 2 mm x 2 mm x 2 mm x 1= 8 mm^{3} Surface Area to Volume ratio of 1 mm cube is 6:1 Surface Area to Volume ratio of 2 mm cube is 24:8 or 3:1
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