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).
Please Help! Thank you!!
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
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

Answer by ikleyn(53727) About Me  (Show Source):
You can put this solution on YOUR website!
.
The height of a square-based pyramid is 20sqrt%288%29 units and the length of the side of its base
is 12sqrt%288%29 units. Find the volume of the pyramid, expressing the answer in the simplest surd form.
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        Calculations and the answer in the post by @mananth are incorrect.
        I came to bring a correct answer.


Area of square base = 12sqrt%288%29 * 12sqrt%288%29 = 144 * 8.

Volume = %281%2F3%29%2A144%2A8 * 20sqrt%288%29

= 48 * 8 * 40sqrt%282%29

= 15360%2Asqrt%282%29 cubic units.         ANSWER


Solved correctly.