Mechanical Properties of Fluids

Question

A brass cube has an edge 10 cm long at 15°C. What will be the area of each face and volume of cube at 60°C (α = 19 x 10^–6/°C)?

Solution

Let L and L' be the length of edge at $15 degree straight C space and space 60 degree straight C$
∴ $straight L apostrophe space equals space straight L left square bracket 1 plus straight alpha left parenthesis 60 minus 15 right parenthesis right square bracket$
$space space space equals 10 open curly brackets 1 plus 19 cross times 10 to the power of negative 6 end exponent cross times 45 close curly brackets space space space space equals 10 left square bracket 1.000855 right square bracket space space space space equals 10.00855 space cm$
The edge length of the cube at 60°C is 10.00855 cm.
Therefore area of each face if cube at 60°C is,
$straight S apostrophe space equals space left parenthesis straight L apostrophe right parenthesis squared space space space space space equals space left parenthesis 10.00855 right parenthesis squared space space space space space space equals 100.17 space cm squared space$
And volume of cube at $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ is,
$straight V apostrophe space equals space left parenthesis straight L apostrophe right parenthesis cubed space space space space space equals space left parenthesis 10.00855 right parenthesis cubed space space space space space space equals space 1002.57 space cm cubed$

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