[{"question":"Objem telesa je:","answers":["z\u00e1porn\u00e9 \u010d\u00edslo","v\u00fdraz","kladn\u00e9 \u010d\u00edslo","rovnica"],"correct":"kladn\u00e9 \u010d\u00edslo","order":"1"},{"question":"Povrch je miera jeho:","answers":["ko\u013eajnice","hranice","cesty","telesa"],"correct":"hranice","order":"2"},{"question":"V = Sp<\/sub> * v je objem:","answers":["ku\u017ee\u013ea","kocky","hranola","ihlana"],"correct":"hranola","order":"3"},{"question":"V = 4\/3 * \u03c0 * R3<\/sup> je objem:","answers":["gule","kocky","ihlana","gu\u013eov\u00e9ho odseku"],"correct":"gule","order":"4"},{"question":"S = \u03c0 * r * (r+s) je povrch:","answers":["kocky","rota\u010dn\u00e9ho ku\u017ee\u013ea","zrezan\u00e9ho ihlana","gu\u013eov\u00e9ho vrchl\u00edka"],"correct":"rota\u010dn\u00e9ho ku\u017ee\u013ea","order":"5"},{"question":"S = Sp<\/sub> + Q je povrch:","answers":["ihlana","kv\u00e1dra","valca","ku\u017ee\u013ea"],"correct":"ihlana","order":"6"},{"question":"Cavallieriho princ\u00edp:","answers":["Ak pre dve teles\u00e1 existuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 rovina s\u00a0\u0148ou rovnobe\u017en\u00e1 pret\u00edna obidve teles\u00e1 v\u00a0rovinn\u00fdch \u00fatvaroch s\u00a0rovnak\u00fdm obsahom, tak sa objemy dan\u00fdch telies rovnaj\u00fa.","Ak pre dve teles\u00e1 neexistuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 rovina s \u0148ou rovnobe\u017en\u00e1 pret\u00edna obidve teles\u00e1 v rovinn\u00fdch \u00fatvaroch s rovnak\u00fdm obsahom, tak sa objemy dan\u00fdch telies rovnaj\u00fa.","Ak pre dve teles\u00e1 existuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 rovina s \u0148ou r\u00f4znobe\u017en\u00e1 pret\u00edna obidve teles\u00e1 v rovinn\u00fdch \u00fatvaroch s rovnak\u00fdm obsahom, tak sa objemy dan\u00fdch telies rovnaj\u00fa.","Ak pre dve teles\u00e1 existuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 rovina s \u0148ou rovnobe\u017en\u00e1 nepret\u00edna obidve teles\u00e1 v rovinn\u00fdch \u00fatvaroch s rovnak\u00fdm obsahom, tak sa objemy dan\u00fdch telies rovnaj\u00fa."],"correct":"Ak pre dve teles\u00e1 existuje tak\u00e1 rovina, \u017ee ka\u017ed\u00e1 rovina s\u00a0\u0148ou rovnobe\u017en\u00e1 pret\u00edna obidve teles\u00e1 v\u00a0rovinn\u00fdch \u00fatvaroch s\u00a0rovnak\u00fdm obsahom, tak sa objemy dan\u00fdch telies rovnaj\u00fa.","order":"7"},{"question":"Kvetinov\u00fd z\u00e1hon m\u00e1 tvar zrezan\u00e9ho ihlana. Hrana dolnej podstavy je a = 10 m, hornej je b = 9 m. Odch\u00fdlka bo\u010dnej strany od podstavy je 45\u00b0. Ko\u013eko saden\u00edc treba, ak na vysadenie 1 m2<\/sup> ich treba 100?","answers":["11 500","11 000","11 200","11 400"],"correct":"11 400","order":"8"},{"question":"Povrch kv\u00e1dra je 376 a rozmery s\u00fa v pomere 3 : 4 : 5. Vypo\u010d\u00edtajte objem dan\u00e9ho kv\u00e1dra.","answers":["450","480","460","400"],"correct":"480","order":"9"},{"question":"Vypo\u010d\u00edtajte povrch ku\u017ee\u013ea s polomerom r = 10 cm, v\u00fd\u0161ka ku\u017ee\u013ea je 180 mm.","answers":["129,368 cm2<\/sup>","12,9068 cm2<\/sup>","1290,68 cm2<\/sup>","1 293, 68 cm2<\/sup>"],"correct":"1 293, 68 cm2<\/sup>","order":"10"}]