MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Summer Clouds moderators

24/11/2017 at 13:44
Answers
2
Follow

A cube of cheese has edge length 1 inch and weighs 0.6 ounce. What is the edge length, in feet, of a cube of the same cheese that weighs 64.8 pounds? (1 pound = 16 ounces)




    List of answers
  • ...
    Phan Thanh Tinh Coordinator 24/11/2017 at 17:54

    64.8 pounds = 1036.8 ounces

    Since the volume of the cheese is directly proportional to the weight of the cheese, the ratio of the volumes of the cubes of cheese is :

    \(\dfrac{1036.8}{0.6}=1728\)

    The ratio of the edges of the cubes of cheese is : \(\sqrt[3]{1728}=12\)

    The length of the cube of the second cheese is : 12 in = 1 ft

    Selected by MathYouLike
  • ...
    Dao Trong Luan Coordinator 24/11/2017 at 14:08

    64,8 pounds = 1036,8 ounces

    => the edge length is: \(\dfrac{1036,8}{0,6}\cdot1=1728\) inch


Post your answer

Please help Summer Clouds to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM