SOLUTION: 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

Algebra ->  Real-numbers -> SOLUTION: 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       Log On


   



Question 1110203: The height of a square-based pyramid is +20sqrt%28+8+%29+ units and the length of the side of its base is +12sqrt%28+8+%29+ units. Find the volume of the pyramid, expressing the answer in the simplest surd form. (Volume = 1/3 area of base × height).
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Answer by mananth(16946) About Me  (Show Source):
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The height of a square-based pyramid is +20sqrt%28+8+%29+ units and the length of the side of its base is +12sqrt%28+8+%29+ 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%28+8+%29+ X +12sqrt%28+8+%29+
= 144 * 8
Volume = %281%2F3%29%2A+144+%2A+8+* +20sqrt%28+8+%29+
= 46* 8 *+40sqrt%28+2+%29+
= 14720 sqrt%282%29