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Math Help - Working out the height of a Cuboid

  1. #1
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    Working out the height of a Cuboid

    Hiya guys, im taking an early GCSE in november and i just need to clear a few things up.

    How do i work out the height of a cuboid. The question is as follows:

    The Cuboid has a volume of 180cm3.
    Calculate the height of the cuboid

    Length = 8cm
    Width = 5cm
    I sort of thought that length x width but that would give you the area and i want the height , Or am i right?



    Also another question i need help out is working out the volume.

    Use the approximations to estimate the volume of the cuboid.

    Height = 9.89CM
    Width = 20.3 CM
    Length = 29.7CM
    To approximations i would say

    Height = 10CM
    Width = 20CM
    Length = 30CM

    For volume is it x them all together?
    10x20x30 ?

    Thanks
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  2. #2
    MHF Contributor Unknown008's Avatar
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    The volume of a cuboid is given by:

    Volume = Length\ \times\ Width\ \times\ Height

    The other one seems right to me.
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  3. #3
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    Hiya

    Thanks for your swift reply. So the first one my theory is correct? I'll do 8x5=40 (height) , But im sure length x width = area?
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  4. #4
    MHF Contributor Unknown008's Avatar
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    Not quite. Take the formula I gave you and substitute the values.

    Volume = Length\ \times\ Width\ \times\ Height

    180 =  8 \times 5 \times h

    What does h become?
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  5. #5
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    8x5 = 40
    So i gotta see how many times 40 goes into 180 which is 4.5 , so would it be 4 or 5 , or just 4.5 ?
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  6. #6
    MHF Contributor Unknown008's Avatar
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    You leave it as 4.5 cm, unless the question asks you to round off to one figure.

    Well done!
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