Question 1110203
The height of a square-based pyramid is  {{{ 20sqrt( 8 ) }}} units and the length of the side of its base is  {{{ 12sqrt( 8 ) }}} units. Find the volume of the pyramid, expressing the answer in the simplest surd form. (Volume = 1/3 area of base × height).

Area of square base = {{{ 12sqrt( 8 ) }}} X {{{ 12sqrt( 8 ) }}}

= 144 * 8

Volume = {{{(1/3)* 144 * 8 }}}* {{{ 20sqrt( 8 ) }}} 

= 46* 8 *{{{ 40sqrt( 2 ) }}} 

= 14720 {{{sqrt(2)}}}