Ukuthola umthamo we-prism: ifomula nemisebenzi

Kule ncwadi, sizobheka ukuthi ungathola kanjani umthamo we-prism futhi uhlaziye izibonelo zokuxazulula izinkinga ukulungisa indaba.

Ifomula yokubala ivolumu yeprism

Umthamo we-prism ulingana nomkhiqizo wendawo yesisekelo sayo nokuphakama kwayo.

V=S_main ⋅ h

• S_main – indawo eyisisekelo, okungukuthi kithi, i-quadrilateral A B C D or EFGH (ukulingana komunye nomunye);
• h ukuphakama kweprism.

Ifomula engenhla ilungele izinhlobo ezilandelayo zama-prism: 

• iqonde - izimbambo eziseceleni zi-perpendicular kuya kwesisekelo;
• okulungile - i-prism eqondile, isisekelo sayo i-polygon evamile;
• ukuthambekela - izimbambo ezisemaceleni zitholakala nge-engeli ngokuphathelene nesisekelo.

Izibonelo zemisebenzi

Umsebenzi 1

Thola umthamo we-prism uma kwaziwa ukuthi indawo yesisekelo sayo ingu-14 cm²futhi ubude buyi-6 cm.

Isinqumo:

Sifaka amanani aziwayo kufomula bese sithola:

V = 14cm² ⋅ 6 cm = 84 cm³.

Umsebenzi 2

Umthamo we-prism ngu-106 cm³. Thola ukuphakama kwayo uma kwaziwa ukuthi indawo yesisekelo ingu-10 cm².

Isinqumo:

Kufomula yokubala ivolumu, kulandela ukuthi ubude bulingana nevolumu ehlukaniswe indawo engu-uXNUMXbuXNUMXbsisekelo:

h = V / S_main = 106cm³ 10cm² = 10,6cm.