Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-4 Volumes of Prisms and Cylinders - Lesson Check: 5

Answer

The volumes are the same.

Work Step by Step

The volumes remain the same because multiplication is commutative. This means the numbers can be multiplied in any order with the same product. This can be proven by solving for the volumes with the different measurements. Volume = length x width x height First figure measurements: Base = 2m x 3m Height = 4m V = 2m x 3m x 4m = 24 m$^{2}$ Second figure measurements: Base = 3m x 4m height = 2m V = 3m x 4m x 2m = 24 m$^{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.