Question 1177186
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(1) Determine the volume of the pyramid.<br>
{{{V = (1/3)LWH = (1/3)(750)(750)(500) = 93750000}}} (cubic feet)<br>
(2) Determine the ratio of the volume of the pyramid to the volume of clay.<br>
{{{93750000/126}}} = 744047 (cubic feet/cubic inch)<br>
(3) The scale factor is the cube root of the ratio of the volumes.<br>
{{{744047^(1/3)}}} = 90.615 to 3 decimal places<br>
Determine the height of the model.<br>
{{{500/90.615}}} = 5.518 inches to 3 decimal places<br>
ANSWER: approximately 5.518 inches<br>