{"id":7545,"date":"2023-05-26T15:07:42","date_gmt":"2023-05-26T09:37:42","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=7545"},"modified":"2023-05-27T17:20:56","modified_gmt":"2023-05-27T11:50:56","slug":"ap-board-8th-class-maths-solutions-chapter-14-ex-14-1","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-board-8th-class-maths-solutions-chapter-14-ex-14-1\/","title":{"rendered":"AP Board 8th Class Maths Solutions Chapter 14 Surface Areas and Volumes Ex 14.1"},"content":{"rendered":"

AP State Syllabus AP Board 8th Class Maths Solutions<\/a> Chapter 14 Surface Areas and Volumes Ex 14.1\u00a0Textbook Questions and Answers.<\/p>\n

AP State Syllabus 8th Class Maths Solutions 14th Lesson Surface Areas and Volumes Exercise 14.1<\/h2>\n

\"AP<\/p>\n

Question 1.
\nThere are two cuboidal boxes as shown in the given figure. Which box requires the less amount of material to make?
\n\"AP
\nSolution:
\nVolume of a cuboid V1<\/sub> = lbh
\n= 60 \u00d7 40 \u00d7 50
\nV1<\/sub> = 1,20,000 cubic units.
\nVolume of a cube V2<\/sub> = (a)3<\/sup>
\n= (50)3<\/sup> = 50 \u00d7 50 \u00d7 50
\nV2<\/sub> = 1,25,000 cubic units.
\n\u2234 The cuboidal box requires less amount of material.
\n\u2234 V1<\/sub> < V2<\/sub><\/p>\n

\"AP<\/p>\n

Question 2.
\nFind the side of a cube whose surface area is 600 cm2<\/sup>
\nSolution:
\nTotal surface area of a cube = 6a2<\/sup>
\n\u21d2 6a2<\/sup> = 600
\n\u21d2 a2<\/sup> = \\([latex]\\frac { 600 }{ 6 }\\)[\/latex] = 100
\n\u21d2 a2<\/sup> = 100
\n\u21d2 a = \u221a100 = 10
\n\u2234 The side of a cube (a) = 10 cm.<\/p>\n

\"AP<\/p>\n

Question 3.
\nPrameela painted the outer surface of a cabinet of measures 1m \u00d7 2m \u00d7 1 .5m. Find the surface area she cover if she painted all except the bottom of the cabinet?
\nSolution:
\nThe area of outer surface of a cabinet except the bottom of the cabinet will be equal to its lateral surface area.
\nI = lm,b = 2m, h = 1.5m.
\nA = 2h(l + b)
\n= 2 \u00d7 1.5(1 + 2)
\n= 3 \u00d7 3 = 9 m2<\/sup>.<\/p>\n

\"AP<\/p>\n

Question 4.
\nFind the cost of painting a cuboid of dimensions 20cm \u00d7 15 cm \u00d7 12 cm at the rate of 5 paisa per square centimeter.
\nSolution:
\nl = 20cm, b = 15cm, h = 12cm.
\n\u2234 Total surface area of a cuboid
\nA = 2 (lb + bh + lh)
\n=2(20 \u00d7 15 + 15 \u00d7 12 + 20 \u00d7 12)
\n= 2 (300 + 180 + 240)
\n= 2 \u00d7 720
\n= 1440 sq.cm.
\nThe cost of painting a cuboid at the rate of 5 paisa per sq. cm for 1440 sq.cm.
\n= 1440 \u00d7 5 paisa
\n= 7200 paise
\n= \u20b9 \\(\\frac { 7200 }{ 100 }\\)
\n= \u20b9 72<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 8th Class Maths Solutions Chapter 14 Surface Areas and Volumes Ex 14.1\u00a0Textbook Questions and Answers. AP State Syllabus 8th Class Maths Solutions 14th Lesson Surface Areas and Volumes Exercise 14.1 Question 1. There are two cuboidal boxes as shown in the given figure. Which box requires the less amount of … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7545"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=7545"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7545\/revisions"}],"predecessor-version":[{"id":40734,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/7545\/revisions\/40734"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=7545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=7545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=7545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}