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<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>
<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>

Find the dimensions of the cuboid when given the volume

I've done this question before but now doing it again, i totally forgot how to :frown:

so a suitcase with dimension 55,40,20 has a volume of 44000cm^3 but now the volume is halved to 22000cm^3 what are the dimensions,

it has to be similar/proportioned like the original dimensions. it's only 4 marks on the paper and it's giving me a headache
If you stretch the sides of a shape by a scale factor s then the volume increases by a factor of s^3....
Conversely if you increase the volume by a factor of v then the sides are stretched by a scale factor of the cube root of v.
Reply 2
Avatar for TSR George
TSR George
OP
17
Original post by 16Characters....
If you stretch the sides of a shape by a scale factor s then the volume increases by a factor of s^3....
Conversely if you increase the volume by a factor of v then the sides are stretched by a scale factor of the cube root of v.


omg yasss i was only taught that a few lessons back ._.
Reply 3
Avatar for JRM3PM
JRM3PM
8
cubed root of (44000/22000) = 0.8

0.8 * 55, 40 and 20 = 44, 32 and 16

To double check, just multiply them:
44*32*16=22528
Which is close enough as I rounded 0.8
Reply 4
Avatar for TSR George
TSR George
OP
17
Original post by york_wbu
cubed root of (44000/22000) = 0.8

0.8 * 55, 40 and 20 = 44, 32 and 16

To double check, just multiply them:
44*32*16=22528
Which is close enough as I rounded 0.8


thanks for your help

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