SOLUTION: For a school project, a student wants to build a replica of the great pyramid of giza out of modelling clay. The real Great Pyramid has a square base with side length of 750 feet a

Algebra ->  Proportions -> SOLUTION: For a school project, a student wants to build a replica of the great pyramid of giza out of modelling clay. The real Great Pyramid has a square base with side length of 750 feet a      Log On


   

Question 1177186: For a school project, a student wants to build a replica of the great pyramid of giza out of modelling clay. The real Great Pyramid has a square base with side length of 750 feet and a height of 500 feet. If the student has 162 cubic inches of clay for her model, what height will her pyramid be in inches?
V= 1/3(L*W*H)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Determine the volume of the pyramid.

V+=+%281%2F3%29LWH+=+%281%2F3%29%28750%29%28750%29%28500%29+=+93750000 (cubic feet)

(2) Determine the ratio of the volume of the pyramid to the volume of clay.

93750000%2F126 = 744047 (cubic feet/cubic inch)

(3) The scale factor is the cube root of the ratio of the volumes.

744047%5E%281%2F3%29 = 90.615 to 3 decimal places

Determine the height of the model.

500%2F90.615 = 5.518 inches to 3 decimal places

ANSWER: approximately 5.518 inches