Measurement - Volume

[ctmckoay]

Hi, I've got this question and attempted it this way, Nevertheless, the answer is not what it is provided. Can you help me check where i went wrong ?

Q - Jam tins of height 12 cm and diameter 7 cm are placed in a carton of length 42 cm, width 35 cm and height 48cm. How many tins will the carton hold ?

My working :
Jam tins (volume) - 3.142 x r x r x h = 3.142 x 3.5 x 3.5 x 12 = 462
Carton size (volume) - 42 x 35 x 48 = 70560
Hence the number of tins that the carton can hold = 70560 / 462 = 153

Answer provided : 120

Yup..Got it. ThX

 

[Loren]

I believe you are correct if you were to open the cans and pour their contents into the carton. In that case there would be no wasted space. If you leave the cans unopened and put the cans in the carton, you will have much space between the cans. Can you think of a way to solve your problem now? Possibly drawing a sketch and figuring out how the cans would fit into the box?