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Short Answer Type

61. Find the volume of the following cuboids.

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62. Find the volume of the following cubes.
(a) with a side 4 cm (b) with a side 1.5 m.

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Long Answer Type

63.

A company sells biscuits. For packing purpose they are using cuboidal boxes:
box A $rightwards arrow$ 3 cm x 8 cm x 20 cm, box B $rightwards arrow$ 4 cm x 12 cm x 10 cm. What size of the box will be economical for the company? why? Can you suggest any other size (dimensions) which has the same volume but is more economical than these?

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Short Answer Type

64. Find the volume of the following cylinders.

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65.

Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
(a) To find how much it can hold.
(b) Number of cement bags required to plaster it.
(c) To find the number of smaller tanks that can be filled with water from it.

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66. Find the height of a cuboid whose base area is 180 cm² and volume is 900 cm³.

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67. A cuboid is of dimensions 60 cm X 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

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68. Find the height of the cylinder whose volume is 1.54 m³ and diameter of the base is 140 cm?

Diameter = 140 cm $rightwards double arrow$ Radius (r) = $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$
Let height of the cylinder be h m.
∴ Volume = $πr squared straight h$
= $22 over 7 cross times left parenthesis 70 right parenthesis squared cross times straight h$
= $22 over 7 cross times 70 cross times 70 cross times straight h$
Since, volume of the cylinder is 1.54 m³.
∴ 22 x 10 x 70 x h = 1.54 x 1000000 = 1540000
or $straight h equals fraction numerator 1540000 over denominator 22 cross times 10 cross times 70 end fraction equals 100 space cm space or space 1 space straight m$