math

Adam has built a garden shed in the shape described.
a square based pyramid with the height of 3.5m on top of a cube with base 4m by 4m and height 2m.
calculate the volume of the shed, to the nearest cubic metre.
thanks.

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  1. volume of cube base = 4x4x2 = ..
    volume of pyramid = (4/3)(4x4)(3.5) = ...

    total = .....

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  2. thanks, but i don't think that is the answer because in the options ,the answer to that calculation is not there.

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  3. So sorry, that was a typo, the volume of pyramid
    = (1/3)base area x height

    so volume of pyramid = (1/3)(4x4)(3.5)

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  4. 47cm

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  5. 47

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  6. I hate math and this question is cause I can’t do it

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  7. If anyone needs help with this, the height is not 3.5m, that is the slant height. So you would need to use Pythagorean theorem to solve for the height.
    h^2=s^2-r^2
    h^2=3.5^2-2^2
    h^2=12.25-4
    h^2=8.25
    h=√8.25
    h=2.87228 m squared.

    Then use this height to solve for the pyramid. The volume of the pyramid is 15.31883. Add this to the rectangular prism which has a volume of 32.

    V=32+15.31883
    V=47 m cubed

    Hope it helps

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  8. bleh

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