How much would a 3" human male weigh?

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In my world, an adult, fit humanoid male is 3 inches tall. When I do a simple ratio calculation, I come up with him weighing 7.9 pounds. Basically, the weight of a gallon of water. This seems excessive. Any thoughts on how to calculate this would be greatly appreciated. Additionally, I may have to make them 4 inches tall to make the science work, so I'm looking for a way to adjust the height as needed. Thanks!



Here is the math I used 190 pounds/72 inches = x pounds/3 inches










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    up vote
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    down vote

    favorite












    In my world, an adult, fit humanoid male is 3 inches tall. When I do a simple ratio calculation, I come up with him weighing 7.9 pounds. Basically, the weight of a gallon of water. This seems excessive. Any thoughts on how to calculate this would be greatly appreciated. Additionally, I may have to make them 4 inches tall to make the science work, so I'm looking for a way to adjust the height as needed. Thanks!



    Here is the math I used 190 pounds/72 inches = x pounds/3 inches










    share|improve this question























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      In my world, an adult, fit humanoid male is 3 inches tall. When I do a simple ratio calculation, I come up with him weighing 7.9 pounds. Basically, the weight of a gallon of water. This seems excessive. Any thoughts on how to calculate this would be greatly appreciated. Additionally, I may have to make them 4 inches tall to make the science work, so I'm looking for a way to adjust the height as needed. Thanks!



      Here is the math I used 190 pounds/72 inches = x pounds/3 inches










      share|improve this question













      In my world, an adult, fit humanoid male is 3 inches tall. When I do a simple ratio calculation, I come up with him weighing 7.9 pounds. Basically, the weight of a gallon of water. This seems excessive. Any thoughts on how to calculate this would be greatly appreciated. Additionally, I may have to make them 4 inches tall to make the science work, so I'm looking for a way to adjust the height as needed. Thanks!



      Here is the math I used 190 pounds/72 inches = x pounds/3 inches







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      asked 1 hour ago









      Adam Orth

      366




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          2 Answers
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          Volume is the cube of length. Therefore, if the length of a human drops by a factor of x; the volume drops by a factor of x$^3$.



          Therefore, a 3" person is $$frac372 = 0.042$$ the length of a regular person, then he would be $0.042^3 = 0.000072$ times the volume (and mass) of that person.



          Multiply that factor by 200 lbs to get 0.014 lbs; or 0.2 ounces. Not much!






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            Weight varies as the cube of height, not linearly. 190 pounds/373,248 cubic inches means 0.014 pounds/27 cubic inches. Your 3” man weighs a fifth of an ounce.






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              2 Answers
              2






              active

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              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes








              up vote
              6
              down vote



              accepted










              Volume is the cube of length. Therefore, if the length of a human drops by a factor of x; the volume drops by a factor of x$^3$.



              Therefore, a 3" person is $$frac372 = 0.042$$ the length of a regular person, then he would be $0.042^3 = 0.000072$ times the volume (and mass) of that person.



              Multiply that factor by 200 lbs to get 0.014 lbs; or 0.2 ounces. Not much!






              share|improve this answer
























                up vote
                6
                down vote



                accepted










                Volume is the cube of length. Therefore, if the length of a human drops by a factor of x; the volume drops by a factor of x$^3$.



                Therefore, a 3" person is $$frac372 = 0.042$$ the length of a regular person, then he would be $0.042^3 = 0.000072$ times the volume (and mass) of that person.



                Multiply that factor by 200 lbs to get 0.014 lbs; or 0.2 ounces. Not much!






                share|improve this answer






















                  up vote
                  6
                  down vote



                  accepted







                  up vote
                  6
                  down vote



                  accepted






                  Volume is the cube of length. Therefore, if the length of a human drops by a factor of x; the volume drops by a factor of x$^3$.



                  Therefore, a 3" person is $$frac372 = 0.042$$ the length of a regular person, then he would be $0.042^3 = 0.000072$ times the volume (and mass) of that person.



                  Multiply that factor by 200 lbs to get 0.014 lbs; or 0.2 ounces. Not much!






                  share|improve this answer












                  Volume is the cube of length. Therefore, if the length of a human drops by a factor of x; the volume drops by a factor of x$^3$.



                  Therefore, a 3" person is $$frac372 = 0.042$$ the length of a regular person, then he would be $0.042^3 = 0.000072$ times the volume (and mass) of that person.



                  Multiply that factor by 200 lbs to get 0.014 lbs; or 0.2 ounces. Not much!







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                  answered 1 hour ago









                  kingledion

                  66.4k22218380




                  66.4k22218380




















                      up vote
                      6
                      down vote













                      Weight varies as the cube of height, not linearly. 190 pounds/373,248 cubic inches means 0.014 pounds/27 cubic inches. Your 3” man weighs a fifth of an ounce.






                      share|improve this answer
























                        up vote
                        6
                        down vote













                        Weight varies as the cube of height, not linearly. 190 pounds/373,248 cubic inches means 0.014 pounds/27 cubic inches. Your 3” man weighs a fifth of an ounce.






                        share|improve this answer






















                          up vote
                          6
                          down vote










                          up vote
                          6
                          down vote









                          Weight varies as the cube of height, not linearly. 190 pounds/373,248 cubic inches means 0.014 pounds/27 cubic inches. Your 3” man weighs a fifth of an ounce.






                          share|improve this answer












                          Weight varies as the cube of height, not linearly. 190 pounds/373,248 cubic inches means 0.014 pounds/27 cubic inches. Your 3” man weighs a fifth of an ounce.







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 1 hour ago









                          Mike Scott

                          9,38131740




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