Question

The volume of the Great Pyramid in Egypt is approximately 33,764 cubic meters. What is the volume, to the nearest tenth, of a scale model that is smaller by a scale factor of 1/12 ? need help with this question

Answer 1

Check the picture below.

`\cfrac{1^3}{12^3}~~ = ~~\cfrac{V}{33764}\implies \cfrac{1}{1728}~~ = ~~\cfrac{V}{33764}\implies \cfrac{(1)(33764)}{1728}=V\implies \boxed{\stackrel{ cm^3 }{19.54}\approx V}`