{"id":4420,"date":"2024-08-13T00:47:11","date_gmt":"2024-08-13T00:47:11","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=4420"},"modified":"2024-12-30T18:47:50","modified_gmt":"2024-12-30T18:47:50","slug":"surface-area","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/et\/taispindala\/","title":{"rendered":"T\u00e4ispindala"},"content":{"rendered":"

T\u00e4ispindala<\/strong><\/span><\/h1>\n

Pindala<\/strong> <\/span> on pinna suurus. \"\"<\/p>\n

https:\/\/en.wikipedia.org\/wiki\/File:Area_conversion_-_square_mm_in_a_square_cm.png<\/a><\/p>\n

Pindala\u00fchikud<\/strong><\/span><\/p>\n

1 m2<\/sup> = 10 000 cm2<\/sup>
\n1 ha = 10 000 m2<\/sup>
\n1 km2<\/sup> = 100 ha 
\n1 m2<\/sup> = 100 dm2<\/sup>
\n1 dm2<\/sup> = 100 cm2<\/sup>
\n1 cm2<\/sup> = 100 mm2<\/sup><\/p>\n

T\u00e4ispindala valemid:<\/strong><\/span><\/h4>\n\n\n\n
\n
Kuup<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"\"\"<\/td>\nRuudu pindala S = a2
\n<\/sup>Kuubi pindala St <\/sub>= 6 ruudu pindalat
\nSt<\/sub> = 6 a2<\/sup><\/strong><\/td>\n		\n
a –  k\u00fclje pikkus
\nSt<\/sub> – t\u00e4ispindala<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Risttahukas<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n

\"\" \"\"<\/strong><\/h4>\n<\/td>\n

\n

St <\/sub> = 2lw +2wh + 2lh=<\/p>\n

= 2(lw +wh+lh)<\/p>\n

S = 2(ab + ac + bc)
\n<\/strong><\/p>\n<\/td>\n

\n
l = a- pikkus,
\nw = b –  laius,
\nh – k\u00f5rgus<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Kolmnurkne prisma<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"<\/td>\n\n

St<\/sub>= Sk<\/sub> + 2<\/strong><\/p>\n

Sp<\/span><\/strong><\/h6>\n

Sk<\/sub> = aH + bH + cH =
\n=(a + b + c) H  = PH
\n<\/strong>P\u00f5hja pindala (kolmnurga pindala) 
\n\"\"
\n<\/strong><\/p>\n

 <\/p>\n

St<\/sub> = 2 (ah\/2) + (a+b+c)H =ah+PH<\/strong><\/span><\/p>\n

 <\/p>\n<\/td>\n

\n

St<\/sub><\/strong> – t\u00e4ispindala<\/p>\n

Sp<\/span><\/strong><\/p>\n

– p\u00f5hja pindala (kolmnurga pindala)
\nSk – <\/sub><\/strong>k\u00fclgpindala<\/p>\n

a<\/strong> – kolmnurga alus,<\/p>\n

h<\/strong> – kolmnurga k\u00f5rgus
\nH<\/strong> – prisma k\u00f5rgus, p\u00f5hjade vaheline kaugus<\/p>\n

P<\/strong> –  kolmnurga \u00fcmberm\u00f5\u00f5t, p\u00f5hja \u00fcmberm\u00f5\u00f5t<\/p>\n

a, b, c<\/strong> – kolmnurga k\u00fcljed, p\u00f5hja k\u00fcljed<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
n- nurkne prisma<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\nSt<\/sub>= Sk<\/sub> + 2<\/strong><\/p>\n

Sp=<\/span>PH +2Sp<\/span><\/strong><\/p>\n<\/td>\n

\n
 <\/h6>\n

St<\/sub><\/strong> – t\u00e4ispindala<\/p>\n

Sp <\/span><\/strong>– p\u00f5hja pindala (hulknurga pindala)<\/p>\n

Sk – <\/sub><\/strong>k\u00fclgpindala
\nH<\/span> –  prisma k\u00f5rgus<\/p>\n

P- p\u00f5hja \u00fcmberm\u00f5\u00f5t (hulknurga \u00fcmberm\u00f5\u00f5t)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Korrap\u00e4rane nelinurkne p\u00fcramiid<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n

\"\"\"\"<\/strong><\/p>\n

\"\"\"\"<\/strong><\/p>\n<\/td>\n

\n

St <\/sub>= Sk<\/sub> +  Sp<\/sub><\/strong><\/p>\n

P = 4a<\/strong><\/p>\n

\"\"<\/p>\n

Sk <\/sub>= 1\/2 x 4a x m =2am<\/strong><\/p>\n

Sp<\/sub> = a2<\/sup><\/strong><\/p>\n

P\u00fcramiidi k\u00fclgpindala (Sk <\/sub>) = p\u00fcramiidi k\u00fclgtahtkude pindalade summa<\/strong><\/b><\/p>\n<\/td>\n

\n
St <\/sub><\/strong> – t\u00e4ispindala<\/h6>\n

Sk<\/sub> <\/strong> -k\u00fclgpindala<\/p>\n

Sp<\/sub><\/strong> – p\u00f5hja pindala<\/p>\n

a -p\u00f5hiserv, ruudu k\u00fclg <\/h6>\n
H –  p\u00fcramiidi k\u00f5rgus<\/h6>\n

P –  P\u00f5hja \u00fcmberm\u00f5\u00f5t<\/p>\n

l =m – p\u00fcramiidi apoteem,  k\u00fclgrahu k\u00f5rgus, <\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Kolmnurkne p\u00fcramiid<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\n\n

St <\/sub>= Sk<\/sub> +  Sp<\/sub><\/strong><\/p>\n

\"\"
\nP = a+ b+ c (erik\u00fclgse kolmnurga korral)
\nP = 3a (v\u00f5rdk\u00fclgse kolmnurga korral)<\/p>\n

P\u00f5hja pindala  =  kolmnurga pindala
\n\"\"<\/p>\n

\n<\/strong><\/p>\n

P\u00fcramiidi k\u00fclgpindala (Sk <\/sub>) = p\u00fcramiidi k\u00fclgtahtkude (kolmnurkade) pindalade summa<\/strong><\/b><\/p>\n<\/td>\n

\n
St <\/sub><\/strong> – t\u00e4ispindala<\/h6>\n

Sk<\/sub> <\/strong> -k\u00fclgpindala<\/p>\n

Sp<\/sub><\/strong> – p\u00f5hja pindala<\/p>\n

P –  p\u00f5hja \u00fcmberm\u00f5\u00f5t<\/p>\n

H –  p\u00fcramiidi k\u00f5rgus<\/h6>\n
a, b, c -p\u00f5hiservad (p\u00f5hjaks oleva kolmnurga k\u00fcljed)<\/h6>\n

l =m – p\u00fcramiidi apoteem,  k\u00fclgrahu k\u00f5rgus, .<\/p>\n

P\u00f5hja pindala  = p\u00f5hitahu pindala<\/strong><\/p>\n

h – p\u00f5hja k\u00f5rgus<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Kera<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\n\n
S = 4\u03c0r<\/strong>2<\/sup><\/strong><\/h5>\n<\/td>\n
\n
 <\/h6>\n
r – radius<\/h6>\n

\"\"<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Koonus<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"\"\"<\/td>\nT\u00e4ispindala <\/strong> = k\u00fclgpindala + p\u00f5hja pindala
\nPindala: St<\/sub>=Sk<\/sub>+Sp<\/sub>
\nK\u00fclgpindala: Sk<\/sub>= \u03c0rm
\nP\u00f5hja pindala: Sp= \u03c0r2<\/sup>
\nSt<\/sub>=\u03c0rm+\u03c0r2<\/sup>
\n<\/strong> <\/td>\n		\n
Sp<\/strong> – p\u00f5hja pindala<\/h6>\n
H, h – koonuse k\u00f5rgus<\/h6>\n
r – raadius<\/h6>\n

\"\"<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/h5>\n\n\n\n
\n
Silinder<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"<\/td>\n\n

Pindala = 2 \u00b7 p\u00f5hja pindala+ 
\n<\/strong>k\u00fclgpindala
\nS=Sk<\/sub>+2Sp<\/sub><\/strong>
\nP = 2\u03c0r
\nSk <\/sub>= Ph = 2\u03c0rh
\nSp <\/sub>= \u03c0r2<\/sup>
\nS = 2\u03c0r2<\/sup> + 2\u03c0rh<\/p>\n

\n<\/strong><\/p>\n<\/td>\n

\n
Sp<\/sub><\/strong> –  p\u00f5hja pindala
\nSk <\/sub><\/strong>– k\u00fclgpindala
\nP –  p\u00f5hja \u00fcmberm\u00f5\u00f5t
\nh<\/span> –  silindri k\u00f5rgus
\nr – raadius<\/h6>\n

\"\"<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

T\u00e4ispindala Pindala  on pinna suurus. https:\/\/en.wikipedia.org\/wiki\/File:Area_conversion_-_square_mm_in_a_square_cm.png Pindala\u00fchikud 1 m2 = 10 000 cm2 1 ha = 10 000 m2 1 km2 = 100 ha  1 m2 = 100 dm2 1 dm2 = 100 cm2 1 cm2 = 100 mm2 T\u00e4ispindala valemid: Kuup Ruudu pindala S = a2 Kuubi pindala St = 6 ruudu pindalat St = 6 […]<\/p>\n

Read More… from T\u00e4ispindala<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","_uag_custom_page_level_css":"","footnotes":""},"categories":[],"tags":[41,40,85],"class_list":["post-4420","page","type-page","status-publish","hentry","tag-english-s","tag-estonian-t","tag-greek-epsilon"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"menu-24x24":false,"menu-36x36":false,"menu-48x48":false},"uagb_author_info":{"display_name":"Signe Reidla","author_link":"https:\/\/domath.surju.ee\/et\/author\/signe\/"},"uagb_comment_info":0,"uagb_excerpt":"T\u00e4ispindala Pindala  on pinna suurus. https:\/\/en.wikipedia.org\/wiki\/File:Area_conversion_-_square_mm_in_a_square_cm.png Pindala\u00fchikud 1 m2 = 10 000 cm2 1 ha = 10 000 m2 1 km2 = 100 ha  1 m2 = 100 dm2 1 dm2 = 100 cm2 1 cm2 = 100 mm2 T\u00e4ispindala valemid: Kuup Ruudu pindala S = a2 Kuubi pindala St = 6 ruudu pindalat St = 6…","_links":{"self":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/4420","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/comments?post=4420"}],"version-history":[{"count":14,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/4420\/revisions"}],"predecessor-version":[{"id":5251,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/4420\/revisions\/5251"}],"wp:attachment":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/media?parent=4420"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/categories?post=4420"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/tags?post=4420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}