SOLUTION: If a 5440cm cubed box (dimensions are 20cmx8cmx34cm) holds 700g of food, how big will a box have to be to hold 1 metric tonne of food? What are the dimensions for the new box?

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Question 1010957: If a 5440cm cubed box (dimensions are 20cmx8cmx34cm) holds 700g of food, how big will a box have to be to hold 1 metric tonne of food? What are the dimensions for the new box?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
If a 5440cm cubed box (dimensions are 20cmx8cmx34cm) holds 700g of food, how big will a box have to be to hold 1 metric tonne of food?
What are the dimensions for the new box?
:
1 metric tonne = 1000 kg or 1000000 grams
:
Find the number of 5440 cubed boxes in a 1 tonne box
= 1429 each containing 5440 cu/cm
That a total of
1429 * 5440 = 7773760 cu/cm for 1 tonne of food
Find the dimensions of the big box, assuming it is in the same shape
let x = the multiplier for given dimensions
20x * 8x * 34x = 7773760
5540x^3 = 7773760
x^3 = 7773760/5440
x^3 = 1429
x =
x = 11.26 is the multiplier
:
Find the dimensions of the new box which contains 1 tonne
11.26(20) = 225.2 cm wide
11.26(8) = 90.1 cm high
11.26(34) = 382.8 cm long

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