{"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\/es\/surface-area\/","title":{"rendered":"Surface area"},"content":{"rendered":"

Surface area<\/strong><\/span><\/h1>\n

Surface area<\/strong> <\/span>is total area of the surface of a three-dimensional object measured in square units.<\/strong><\/p>\n

\"\"<\/p>\n

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

Metric Units \u2013 Area<\/strong><\/span><\/p>\n

1 square metre = 10 000 square centimetres, cm2<\/sup>
\n1 hectare = 10 000 square metres, m2<\/sup>
\n1 square kilometre = 100 hectares, ha
\n1 square metre = 100 square decimetre, dm2<\/sup>
\n1 square decimetre = 100 square centimetre, cm2<\/sup>
\n1 square centimetre = 100 square millimetre, mm2<\/sup><\/p>\n

Surface area formulas<\/strong><\/span><\/h4>\n\n\n\n
\n
Cube<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"\"\"<\/td>\nSquare area = a2<\/sup>A = 6 square areaA = 6 a2<\/sup><\/strong><\/td>\n\n
a –\u00a0 base lenght<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Rectangular prism<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n

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

\n

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

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

\n
l – lenght, w –\u00a0 width, h – height<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Triangular prism<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"<\/td>\n\n

SA= LSA + 2 B<\/strong><\/p>\n

LSA = aH + bH + cH =
\n=(a + b + c) H\u00a0 = PH<\/strong><\/p>\n

\"\"<\/p>\n

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

\n
SA – surface area<\/h6>\n

B – triangular faces area, base area<\/p>\n

LSA – lateral surface area<\/h6>\n
a – length of one side of the triangle,<\/h6>\n
h – length of an altitude drawn to side
\nH – distance between the triangular faces.<\/h6>\n

P –\u00a0 perimeter of triangle, face<\/p>\n

a, b, c – sides of tirangle(base)<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
n-gonal prism<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\nSA= LSA + 2 B<\/strong>A =PH + 2B<\/td>\n\n
SA – surface area<\/h6>\n

B –\u00a0 \u00a0base area<\/p>\n

LSA – lateral surface area<\/h6>\n
B – \u00a0base area (regular polygon area)
\nH<\/span> –\u00a0 height of prism<\/h6>\n

P- perimeter of base, regular polygon<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Square pyramid<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"<\/strong><\/p>\n

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

\n

SA= LSA +\u00a0 B<\/strong><\/p>\n

A = B + 1\/2 x P x l<\/strong><\/p>\n

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

LSA =1\/2 x P x l=<\/strong><\/p>\n

= 1\/2 x 4a x l =2al<\/strong><\/p>\n

B = a2<\/sup><\/strong><\/p>\n

Lateral surface area of a pyramid (LSA) = Sum of areas of the lateral surfaces of the pyramid<\/strong><\/b><\/p>\n<\/td>\n

\n
\u00a0SA – surface area<\/h6>\n

LSA – lateral surface area<\/p>\n

B – bases area<\/p>\n

a -base\u00b4s side lenght<\/h6>\n
H –\u00a0 perpendicular height, height of the pyramid<\/h6>\n
B – area of \u200b\u200bpyramid base<\/h6>\n

P –\u00a0 perimeter of the base<\/p>\n

l –\u00a0 slant length of the lateral sides (lenght base to vertex, apex)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Triangular Pyramid<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\n\n

SA= LSA +\u00a0 B<\/strong><\/p>\n

SA = B + 1\/2 x P x l<\/strong><\/p>\n

LSA =1\/2 x P x l<\/strong><\/p>\n

Bases area\u00a0 =\u00a0 polygon area<\/strong><\/p>\n

Lateral surface area of a pyramid (LSA) = Sum of areas of the lateral surfaces (triangles) of the pyramid<\/strong><\/b><\/td>\n

\n
SA – surface area<\/h6>\n

LSA – lateral surface area<\/p>\n

B – bases area<\/p>\n

P –\u00a0 base perimeter<\/p>\n

H –\u00a0 perpendicular height, height of the pyramid<\/h6>\n
a -base\u00b4s side lenght<\/h6>\n

l (m) –\u00a0 slant length of the lateral sides.<\/p>\n

Bases area\u00a0 = polygon area<\/strong><\/p>\n

h – height of the triangle<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Sphere<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"<\/td>\n\n
SA = 4\u03c0r<\/strong>2<\/sup><\/strong><\/h5>\n<\/td>\n
\n
<\/h6>\n
r – radius<\/h6>\n

\"\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\n
Right circular cone<\/strong><\/span><\/h5>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n
\"\"\"\"\"\"<\/td>\nTotal Surface Area of Cone<\/strong>
\n= Area of Curved Surface + Base Area<\/strong>\"\"<\/td>\n		\n
B – area of the base<\/h6>\n
H, h – perpendicular height, height of the cone<\/h6>\n
r – radius<\/h6>\n

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

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

Area = 2 \u00b7 the area of the base +\u00a0<\/strong>base circumference \u00b7 height
\nA = 2\u03c0r2<\/sup>\u00a0+ 2\u03c0rh<\/strong><\/p>\n<\/td>\n

\n
B – \u00a0base area
\nh<\/span> –\u00a0 height of cilinder
\nr – radius<\/h6>\n

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

Surface area Surface area is total area of the surface of a three-dimensional object measured in square units. https:\/\/en.wikipedia.org\/wiki\/File:Area_conversion_-_square_mm_in_a_square_cm.png Metric Units \u2013 Area 1 square metre = 10 000 square centimetres, cm2 1 hectare = 10 000 square metres, m2 1 square kilometre = 100 hectares, ha 1 square metre = 100 square decimetre, dm2 […]<\/p>\n

Leer m\u00e1s… from Surface area<\/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\/es\/author\/signe\/"},"uagb_comment_info":0,"uagb_excerpt":"Surface area Surface area is total area of the surface of a three-dimensional object measured in square units. https:\/\/en.wikipedia.org\/wiki\/File:Area_conversion_-_square_mm_in_a_square_cm.png Metric Units \u2013 Area 1 square metre = 10 000 square centimetres, cm2 1 hectare = 10 000 square metres, m2 1 square kilometre = 100 hectares, ha 1 square metre = 100 square decimetre, dm2…","_links":{"self":[{"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/pages\/4420","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/comments?post=4420"}],"version-history":[{"count":14,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/pages\/4420\/revisions"}],"predecessor-version":[{"id":5251,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/pages\/4420\/revisions\/5251"}],"wp:attachment":[{"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/media?parent=4420"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/categories?post=4420"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/domath.surju.ee\/es\/wp-json\/wp\/v2\/tags?post=4420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}