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

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) (Show Source): You can put this solution on YOUR website!

(1) Determine the volume of the pyramid.

(cubic feet)

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

= 744047 (cubic feet/cubic inch)

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

= 90.615 to 3 decimal places

Determine the height of the model.

= 5.518 inches to 3 decimal places

ANSWER: approximately 5.518 inches

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