[{"question":"Ako vypo\u010d\u00edtame objem v\u0161eobecn\u00e9ho ihlana?","answers":["v\u00fd\u0161ka*Spodstavy\/3","v\u00fd\u0161ka2<\/sup>*Spodstavy\/3","v\u00fd\u0161ka*Spodstavy\/6","v\u00fd\u0161ka2<\/sup>*Spodstavy\/6"],"correct":"v\u00fd\u0161ka*Spodstavy\/3","order":"1"},{"question":"Ako vypo\u010d\u00edtame povrch pravideln\u00e9ho \u0161tvorbok\u00e9ho ihlana so stranou a, priestorovou v\u00fd\u0161kou v a stenovou v\u00fd\u0161kou w?","answers":["a2<\/sup> + 2*w","v2<\/sup> + 2*a*w","v*a<2<\/sup>\/3","a2<\/sup> + 2*a*w"],"correct":"a2<\/sup> + 2*a*w","order":"2"},{"question":"Ako vypo\u010d\u00edtame objem ihlana z prech\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["a2<\/sup> + 2*w","v2<\/sup> + 2*a*w","v*a2<\/sup>\/3","a2<\/sup> + 2*a*w"],"correct":"v*a2<\/sup>\/3","order":"3"},{"question":"Ako vypo\u010d\u00edtame objem \u0161tvorbok\u00e9ho ihlana s podstavou so stranami a,b priestorovou v\u00fd\u0161kou v a stenov\u00fdmi v\u00fd\u0161kami w1 a w2?","answers":["a*v\/3","a*b*v\/3","b*v\/3","a*b\/3"],"correct":"a*b*v\/3","order":"4"},{"question":"Ako vypo\u010d\u00edtame povrch ihlana z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["a*b*w1*w2","a*b + a*w1 + b*w2","a*w1 + b*w2","a*b*v"],"correct":"a*b + a*w1 + b*w2","order":"5"},{"question":"M\u00e1te zadan\u00fd objem pravideln\u00e9ho trojbok\u00e9ho ihlana, a to 1000. \u010ealej pozn\u00e1te uhol 18\u00b0, ktor\u00fd zviera bo\u010dn\u00e1 hrana a v\u00fd\u0161ka tohto ihlana. Ur\u010dite ak\u00e1 dlh\u00e1 je bo\u010dn\u00e1 hrana.","answers":["294","29.4","2.94","0.294"],"correct":"29.4","order":"6"},{"question":"M\u00e1te zadan\u00fa d\u013a\u017eku bo\u010dnej hrany pravideln\u00e9ho osembok\u00e9ho ihlana = 3,5. Uhol 70\u00b0 zviera t\u00e1to bo\u010dn\u00e1 hrana s rovinou podstavy. Ak\u00fd je objem tak\u00e9hoto ihlana?","answers":["4.445","44.45","444.5","0.4445"],"correct":"4.445","order":"7"},{"question":"M\u00e1te objem pravideln\u00e9ho \u0161tvorbok\u00e9ho ihlana, t.j. V = 120. Uhol, ktor\u00fd zviera bo\u010dn\u00e1 stena a podstava tohto ihlana je 42\u00b030\\'. Ur\u010dite povrch tak\u00e9hoto ihlana.","answers":["2.007","0.2007","20.07","200.7"],"correct":"200.7","order":"8"},{"question":"Zadan\u00fd je pravideln\u00fd osembok\u00fd ihlan s v\u00fd\u0161kou 100. Uhol bo\u010dnej hrany s podstavou je 60\u00b0. Ak\u00fd je objem tak\u00e9hoto ihlana?","answers":["314300","314.3","0.3143","3.143"],"correct":"314300","order":"9"},{"question":"M\u00e1te zadan\u00fd pravideln\u00fd \u0161es\u0165 bok\u00fd ihlan s podstavn\u00fdmi hranami 65 a 25. Bo\u010dn\u00e1 hrana je dlh\u00e1 85. Ak\u00fd je objem tak\u00e9hoto zrezan\u00e9ho ihlana","answers":["4.5","0.45","450560","450.56"],"correct":"450560","order":"10"}]