Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.5 Volume and Surface Area - Exercise Set 10.5 - Page 657: 21

Answer

The surface area is\[62\text{ }{{\text{m}}^{2}}\].

Work Step by Step

The length, width,and height of the rectangular solid are 5m, 2m, and 3m, respectively. Computation of the surface area (SA) of the rectangle can be done by using the below-mentioned formula: \[SA=2lw+2lh+2wh\] Compute the surface area of the rectangular solid using the equation as shown below: \[\text{Surface area of the rectangular solid}=2\times \left[ \left( 5\text{ m}\times 2\text{ m} \right)+\left( 5\text{ m}\times 3\text{ m} \right)+\left( 2\text{ m}\times 3\text{ m} \right) \right]\] \[\begin{align} & =2\times \left[ \left( 10 \right)+\left( 15 \right)+\left( 6 \right){{\text{m}}^{2}} \right] \\ & =2\times \left[ 31\text{ }{{\text{m}}^{2}} \right] \\ & =62\text{ }{{\text{m}}^{2}} \end{align}\]
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