V (objętość) = Pp (pole podstawy) × h (wysokość)
h = 8
h podstawy =
[tex]2.5^{2} + x^{2} = {5}^{2} \\ 6.25 + {x}^{2} = 25 \\ {x}^{2} = 25 - 6.25 \\ {x}^{2} = 18.75 \\ x = \frac{5}{2 \sqrt{3} } [/tex]
Pp = (a × h) : 2 = [5 : (5:2√3)] : 2 = √3/3
V = √3/3 × 5/2√3 = 5/6
(mam nadzieję że dobrze, w razie czego poprawię)
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Verified answer
V (objętość) = Pp (pole podstawy) × h (wysokość)
h = 8
h podstawy =
[tex]2.5^{2} + x^{2} = {5}^{2} \\ 6.25 + {x}^{2} = 25 \\ {x}^{2} = 25 - 6.25 \\ {x}^{2} = 18.75 \\ x = \frac{5}{2 \sqrt{3} } [/tex]
Pp = (a × h) : 2 = [5 : (5:2√3)] : 2 = √3/3
V = √3/3 × 5/2√3 = 5/6
(mam nadzieję że dobrze, w razie czego poprawię)