[{"question":"Nap\u00ed\u0161te vzorec pre v\u00fdpo\u010det povrchu zrezan\u00e9ho ihlanu?","answers":["S = S1<\/sub> + S2<\/sub> + Spl<\/sub>","S = S1<\/sub> . S2<\/sub> + Spl<\/sub>","V = v\/3 . (S1<\/sub> + \u221a S1<\/sub>.S2<\/sub> + S2<\/sub>)","S = S1<\/sub> . S2<\/sub> . Spl<\/sub>"],"correct":"S = S1<\/sub> + S2<\/sub> + Spl<\/sub>","order":"1"},{"question":"Nap\u00ed\u0161te vzorec pre v\u00fdpo\u010det objemu zrezan\u00e9ho ihlanu?","answers":["S = S1<\/sub> + S2<\/sub> + Spl<\/sub>","V = v\/3 . (S1<\/sub> + \u221a (S1<\/sub>+S2<\/sub>) + S2<\/sub>)","V = v\/3 . (S1<\/sub> + \u221a S1<\/sub>.S2<\/sub> + S2<\/sub>)","V = v\/3 . (S1<\/sub> . \u221a S1<\/sub>.S2<\/sub> . S2<\/sub>)"],"correct":"V = v\/3 . (S1<\/sub> + \u221a S1<\/sub>.S2<\/sub> + S2<\/sub>)","order":"2"},{"question":"Pravideln\u00fd \u0161es\u0165bok\u00fd zrezan\u00fd ihlan m\u00e1 podstavn\u00e9 hrany a1<\/sub> = 65, a2<\/sub> = 25 a bo\u010dn\u00fa hranu b = 85. Vypo\u010d\u00edtaj objem telesa.","answers":["420 560","42 560","4 260","42 056"],"correct":"420 560","order":"3"},{"question":"Zrezan\u00fd pravideln\u00fd \u0161tvorbok\u00fd ihlan m\u00e1 objem V = 1281 cm3<\/sup>, v\u00fd\u0161ku v = 7 cm a obsah dolnej z\u00e1kladne je o 81 cm2<\/sup> v\u00e4\u010d\u0161\u00ed ako obsah hornej z\u00e1kladne. Ur\u010di obsah hornej z\u00e1kladne.","answers":["121 cm2<\/sup>","144 cm2<\/sup>","128 cm2<\/sup>","187 cm2<\/sup>"],"correct":"144 cm2<\/sup>","order":"4"},{"question":"Pravideln\u00fd zrezan\u00fd \u0161tvorbok\u00fd ihlan m\u00e1 podstavn\u00e9 hrany a1<\/sub> = 6 cm a a2<\/sub> = 4 cm. Vypo\u010d\u00edtajte jeho povrch, ak pozn\u00e1te v\u00fd\u0161ku zrezan\u00e9ho ihlanu v = 3 cm.","answers":["116,25 cm2<\/sup>","125,25 cm2<\/sup>","115,22 cm2<\/sup>","115,25 cm2<\/sup>"],"correct":"115,25 cm2<\/sup>","order":"5"},{"question":"Pravideln\u00fd zrezan\u00fd \u0161tvorbok\u00fd ihlan m\u00e1 podstavn\u00e9 hrany a1<\/sub> = 6 cm a a2<\/sub> = 4 cm. Vypo\u010d\u00edtajte jeho objem, ak pozn\u00e1te v\u00fd\u0161ku zrezan\u00e9ho ihlanu v = 3 cm.","answers":["67 cm3<\/sup>","86 cm3<\/sup>","68 cm3<\/sup>","76 cm3<\/sup>"],"correct":"76 cm3<\/sup>","order":"6"},{"question":"Hore otvoren\u00e1 plechov\u00e1 n\u00e1dr\u017e m\u00e1 tvar pravideln\u00e9ho zrezan\u00e9ho \u0161tvorbok\u00e9ho ihlanu, ktor\u00fd stoj\u00ed na men\u0161ej podstave. Podstavn\u00e9 hrany s\u00fa a1<\/sub> = 1 cm a a2<\/sub> = 2,2 cm, v\u00fd\u0161ka je v = 0,8 m.Vypo\u010d\u00edtajte objem n\u00e1dr\u017ee.","answers":["2,124 cm3<\/sup>","2,144 cm3<\/sup>","2,121 cm3<\/sup>","2,169 cm3<\/sup>"],"correct":"2,144 cm3<\/sup>","order":"7"},{"question":"Hore otvoren\u00e1 plechov\u00e1 n\u00e1dr\u017e m\u00e1 tvar pravideln\u00e9ho zrezan\u00e9ho \u0161tvorbok\u00e9ho ihlanu, ktor\u00fd stoj\u00ed na men\u0161ej podstave. Podstavn\u00e9 hrany s\u00fa a1<\/sub> = 1 m, a2<\/sub> v\u00fd\u0161ka je v = 0,8 m.Vypo\u010d\u00edtajte hmotnos\u0165 n\u00e1dr\u017ee, ak viete, \u017ee jeden m2<\/sup> plechu v","answers":["171,12 kg","171,08 kg","159,12 kg","158,12 kg"],"correct":"159,12 kg","order":"8"},{"question":"Jama m\u00e1 tvar pravideln\u00e9ho zrezan\u00e9ho \u0161tvorbok\u00e9ho ihlana. Hrany podst\u00e1v maj\u00fa d\u013a\u017eky a1<\/sub> = 14 m, a2<\/sub> = 10 m. bo\u010dn\u00e9 steny maj\u00fa sklon 45\u00b0. Ko\u013eko m3<\/sup> zeminy sa vykopalo?","answers":["290,67 cm3<\/sup>","90,67 cm3<\/sup>","29,67 cm3<\/sup>","209,67 cm3<\/sup>"],"correct":"290,67 cm3<\/sup>","order":"9"},{"question":"Ur\u010dte hmotnos\u0165 bet\u00f3nov\u00e9ho piliera (hustota bet\u00f3nu je 2,2 g.cm-3<\/sup>) tvaru pravideln\u00e9ho zrezan\u00e9ho \u0161tvorbok\u00e9ho piliera, ak jeho podstavy maj\u00fa hrany dlh\u00e9 45 cm a 25 cm a v\u00fd\u0161ka piliera je 33 cm.","answers":["101,355 kg","95,36 kg","81,355 kg","91,355 kg"],"correct":"91,355 kg","order":"10"}]