Ka ʻimi ʻana i ka leo o kahi prisma: kumu a me nā hana

Ma kēia hoʻolaha, e nānā mākou pehea ʻoe e ʻike ai i ka leo o kahi prism a me ka nānā ʻana i nā hiʻohiʻona o ka hoʻoponopono ʻana i nā pilikia e hoʻoponopono i ka mea.

ʻO ke kumu no ka helu ʻana i ka leo o kahi prisma

ʻO ka nui o kahi prism ua like ia me ka huahana o ka ʻāpana o kona kumu a me kona kiʻekiʻe.

V=S_{ka papa kuhikuhiE} ⋅ h

• S_{ka papa kuhikuhiE} – wahi kumu, ʻo ia hoʻi i kā mākou hihia, he quadrilateral ABCD or EFGH (elike me kekahi);
• h ke kiekie o ka prisma.

Ua kūpono ke ʻano o luna no nā ʻano prisms: 

• pololei - kū pololei nā iwi ʻaoʻao i ke kumu;
• pololei - he prisma pololei, ʻo ke kumu he polygon maʻamau;
• inclined - aia nā iwi ʻaoʻao ma kahi kihi e pili ana i ke kumu.

Nā laʻana o nā hana

Hana 1

E huli i ka leo o ka prisma inā ʻike ʻia ʻo ka ʻāpana o kona kumu he 14 knm²a he 6 knm ke kiekie.

Hoʻoholo:

Hoʻololi mākou i nā waiwai i ʻike ʻia i loko o ke kumu a loaʻa:

V = 14cm² ⋅ 6 knm = 84 knm³.

Hana 2

ʻO 106 knm ka nui o ka prisma³. E ʻimi i kona kiʻekiʻe inā ʻike ʻia he 10 cm ka ʻāpana o ke kumu².

Hoʻoholo:

Mai ke kumu no ka helu ʻana i ka leo, ua like ke kiʻekiʻe me ka leo i puʻunaue ʻia e ka ʻāpana o uXNUMXbuXNUMXbke kumu:

h = V / S_{ka papa kuhikuhiE} = 106 knm³ / 10 knm² = 10,6 knm.