{"id":153100,"date":"2023-07-28T12:58:11","date_gmt":"2023-07-28T07:28:11","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153100"},"modified":"2023-07-28T12:58:13","modified_gmt":"2023-07-28T07:28:13","slug":"a-depressed-portion-of-a-land-is-identified-by-three-closed-contours-as-shown-in-the-figure-below-the-area-bounded-by-three-contour","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-depressed-portion-of-a-land-is-identified-by-three-closed-contours-as-shown-in-the-figure-below-the-area-bounded-by-three-contour\/","title":{"rendered":"A depressed portion of a land is identified by three closed contours, as shown in the figure below. The area bounded by three contour"},"content":{"rendered":"\n<p>Q. A depressed portion of a land is identified by three closed contours, as shown in the figure below. The area bounded by three contour lines are 6 m<sup>2<\/sup>, 24 m<sup>2<\/sup> and 96 m<sup>2<\/sup> respectively. The contour interval is 1 m. Using prismoidal method, the volume of the earth needed to fill the land depression is\u00a0________________m<sup>3<\/sup>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-132.png\" alt=\"\" class=\"wp-image-153102\" width=\"266\" height=\"162\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-132.png 544w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-132-300x183.png 300w\" sizes=\"(max-width: 266px) 100vw, 266px\" \/><\/figure>\n\n\n\n<p>A. 66 cubic meter<\/p>\n\n\n\n<p>B. 99 cubic meter<\/p>\n\n\n\n<p>C. 33 cubic meter<\/p>\n\n\n\n<p>D. 9.9 cubic meter<\/p>\n\n\n\n<p>Ans: 9.9 cubic meter<\/p>\n\n\n\n<p>Solution: <\/p>\n\n\n\n<p>The volume of a prismoid is :<\/p>\n\n\n\n<p>V = -1\/6(A1 + 4Am + A2)<\/p>\n\n\n\n<p>Where: V = Volume (cubic feet) Am = Middle Area or Area of a plane surface midway between A1 and A2, A1 and A2 are the areas of the end sections. L is distance between top and bottom cross-section.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-134.png\" alt=\"\" class=\"wp-image-153107\" width=\"319\" height=\"57\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-134.png 419w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-134-300x54.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A depressed portion of a land is identified by three closed contours, as shown in the figure below. The area bounded by three contour lines are 6 m2, 24 m2 and 96 m2 respectively. The contour interval is 1 m. Using prismoidal method, the volume of the earth needed to fill the land depression [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153112,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-153100","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153100","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153100"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153100\/revisions"}],"predecessor-version":[{"id":153114,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153100\/revisions\/153114"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153112"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153100"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153100"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}