Are you confused about the surfaces of solids? You landed on the correct page where you will get plenty of knowledge on the surfaces of solids. This article explains the definition of surfaces of solids, Types of Surfaces, How to find the surfaces of regular solids, surfaces of irregular solids. Check out the regular solids surface area formulas in the later modules.<\/p>\n
Do Check:<\/p>\n
The measurement of\u00a0the entire\u00a0area that the surface of\u00a0the thing\u00a0occupies\u00a0of a solid object.<\/p>\n
When we check out\u00a0the shapes,\u00a0we discover\u00a0that some are flat\u00a0and a few\u00a0are curved. These faces\u00a0aren’t\u00a0only seen but\u00a0also can\u00a0be touched. This is known as the surfaces of the solids or 3-D figures. Surface area can be measured in square units.
\nThere are two sorts of\u00a0surfaces: (i) Total surface area and (ii) Curved surface<\/p>\n
Total surface area means the area including the base and the curved part. It means the total area covered by the surface of the object. If the object has both a curved surface and base, then the total area will be the sum of the two areas.<\/p>\n
The surfaces which aren’t\u00a0flat, are called curved surface. Curved surface area refers to the area of the curved part of the shape and not it’s base. It is also known as Lateral surface area.<\/p>\n
The surface of a ball, or an apple, or orange are examples of curved or maybe a spherical surface. Spherical surfaces are formed by just one\u00a0surface. We can observe some objects which have both plane and curved sorts of\u00a0surfaces. For example, drums and clocks are such objects having both flat and curved surfaces.<\/p>\n
Regular solids have definite formulas for locating\u00a0their surface areas. We know the examples of regular solids which include cubes, prisms, cuboids, spheres, hemispheres, cones, and cylinders.<\/p>\n
Here we will find out the surface areas of the regular solids. We have listed the formulas for finding the surface area of regular solids in the below modules. They are as such<\/p>\n
The\u00a0area\u00a0of a solid cube = 4s2<\/sup><\/p>\n Where s = length of the side.<\/p>\n The Cuboid Surface area = 2lw + 2lh + 2wh<\/p>\n SA = 2(lw + lh + wh)<\/p>\n Where, l = length of cuboid, w = width of cuboid, and h = height of the cuboid.<\/p>\n A prism\u00a0may be a\u00a0three-dimensional solid with two parallel and congruent polygonal bases connected by rectangular faces. The formula for the\u00a0area\u00a0for a prism depends on\u00a0the form\u00a0of its base.<\/p>\n The general formula for the\u00a0area\u00a0of a prism = 2 \u00d7 area of\u00a0the bottom\u00a0+ perimeter of base \u00d7 height.<\/p>\n SA = 2B + ph<\/p>\n A solid cylinder is an object which has two parallel circular bases and they are joined by a curved surface, at a fixed distance from the center.<\/p>\n The\u00a0area\u00a0of a cylinder = 2 \u00d7 area of circle + area of a rectangle (the curved surface)<\/p>\n The solid cylinder surface area = 2\u03c0r (r + h)<\/p>\n A cone is solid with a circular base connected to a curved surface that tapers from\u00a0the bottom\u00a0to\u00a0the highest.<\/p>\n The surface area of a solid cone = Area of sector + area of a circle<\/p>\n SA =\u03c0rs + \u03c0r2<\/sup> = \u03c0r (r + s)<\/p>\n Where s\u00a0is that the\u00a0slant height of a cone and r\u00a0is that the\u00a0radius of the circular base.<\/p>\n A pyramid\u00a0is often defined as a solid with a polygonal base and triangular lateral faces.\u00a0a bit like\u00a0a prism, a pyramid\u00a0is known as\u00a0after the form\u00a0of its base.<\/p>\n The general formula for the\u00a0area\u00a0of a solid pyramid is:<\/p>\n SA = Base area + \u00bd ps<\/p>\n Where p = perimeter of\u00a0and s = slant height of a pyramid.<\/p>\n For, a square pyramid, the, SA = b2<\/sup> + 2bs<\/p>\n Where, b = base length of the square pyramid and s = slant height of the square pyramid.<\/p>\n The\u00a0area\u00a0of a sphere, SA = 4 \u03c0r2<\/sup><\/p>\n For a solid hemisphere, the\u00a0area, SA = 3\u03c0r2<\/sup><\/p>\n An irregular object\u00a0may be a\u00a0combination of two or more regular objects. Therefore, the\u00a0area\u00a0of irregular solid\u00a0is often calculated by adding together the regular objects\u2019 surface areas that form it.<\/p>\n 1. What is the formula for the total surface area of the cylinder?<\/strong><\/p>\n The total surface area of the cylinder = 2 \u03c0 r(r+h), where r is the radius of the circular base and h is the height of the cylinder.<\/p>\n 2. What is the Surface area of the cone?<\/strong><\/p>\n The surface area of a solid cone = Area of sector + area of a circle<\/p>\n SA =\u03c0rs + \u03c0r2<\/sup> = \u03c0r (r + s)<\/p>\n Wheres is that the\u00a0slant height of a cone and r\u00a0is that the\u00a0radius of the circular base.<\/p>\n 3. Find the total surface area of the hemisphere?<\/strong><\/p>\n The total surface area of the hemisphere is equal to the sum of half of the surface area of the sphere and the area of its circular base. 4. What is the area of the prism?<\/strong><\/p>\n The area of a prism = 2 \u00d7 area of the bottom + perimeter of base \u00d7 height.<\/p>\n SA = 2B + ph<\/p>\n","protected":false},"excerpt":{"rendered":" Are you confused about the surfaces of solids? You landed on the correct page where you will get plenty of knowledge on the surfaces of solids. This article explains the definition of surfaces of solids, Types of Surfaces, How to find the surfaces of regular solids, surfaces of irregular solids. Check out the regular solids … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":100064,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Surface-Area-of-Solids.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/98862"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=98862"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/98862\/revisions"}],"predecessor-version":[{"id":136450,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/98862\/revisions\/136450"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/100064"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=98862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=98862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=98862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Surface Area of a Cuboid<\/h3>\n
Surface Area of a Solid Prism<\/h3>\n
Surface Area of a Solid Cylinder<\/h3>\n
Surface Area of a Solid Cone<\/h3>\n
Surface Area of a Solid Pyramid<\/h3>\n
Surface Area of a Solid Sphere<\/h3>\n
The Surface Area of Irregular Solids<\/h3>\n
FAQs on the Surface of Solids<\/h3>\n
\nTotal surface area of hemisphere = 2 \u03c0 r2<\/sup>+ \u03c0 r2<\/sup>\u00a0= 3 \u03c0 r2<\/sup><\/p>\n