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.

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

47

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

yh

I'm sorry if you find math difficult or frustrating. Is there anything I can help you with or any specific concept you would like me to explain?

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

bleh

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)

47cm

volume of cube base = 4x4x2 = ..

volume of pyramid = (4/3)(4x4)(3.5) = ...

total = .....