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Includes definitions (sector as arc-and-two-radii region; segment as arc-and-chord region), step-by-step numerical examples, and formula-based calculations. Topics cover lateral surface area of a cube, cylinder volume from base area and height, cutting cubes from a cuboid, hemisphere curved surface area, equality of sphere volume and surface area, and invariance of cylinder curved surface area under dimension changes. Also includes application problems involving room dimensions and hollow hemispherical vessels for painting area.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/surface-area-and-volume-practice-cone-surface-area-and-volume-practice/297572/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/surface-area-and-volume-practice-cone-surface-area-and-volume-practice/297572.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1786070896","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the difference between a sector and a segment in circle geometry?","Question",{"text":113,"@type":114},"A sector is the region enclosed by two radii and an arc. 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Cone surface area and volume practice. Surface area and volume practice pdf. Surface area and volume practice quiz. Surface area and volume practice questions. Surface area and volume practice worksheets. Surface area and volume practice problems 7th grade. Surface area and volume practice problems. Class 10 surface area and volume practice questions. Volume and surface area of a cylinder practice problems. Surface area and volume practice test. Surface area and volume practice answer key. Surface area and volume practice test pdf. Surface area and  \nvolume practice set 9.1 . Lateral surface area total surface area and volume practice.  \nA large cube with an edge length of 32 cm can be divided into smaller cubes with an edge length of 4 cm. To calculate the number of smaller cubes, we need to find the total volume of the larger cube and divide it by the volume of the smaller cube. The volume of the larger cube is calculated by multiplying its side length three times (32 * 32 * 32 = 32768 cm³) . The volume of the smaller cube is calculated by multiplying its side length three times (4 * 4 * 4 = 64 cm³) . Dividing the volume of the larger cube by the volume of the smaller cube gives us the number of smaller cubes that can be cut from the larger cube, which is 32768 / 64 = 512 . A sector refers to a region between an arc and two radii joining the center to the end points of the arc. It's a portion of a circle enclosed by two radii and an arc. The term \"segment\" denotes the region between an arc and a chord, not radii. A semicircle is half of a circle, so it doesn't fit the description given. Therefore, the correct answer is sector. The lateral surface area of a cube is the sum of the areas of all its faces except the top and bottom faces. Since a cube has six equal faces, each face has an area equal to the side length squared. Therefore, the lateral surface area is equal to 4 times the side length squared. If the lateral surface area is 1600 cm², then 4 times the side length squared is equal to 1600. Dividing both sides by 4 gives us the side length squared, which is 400 . Taking the square root of 400 gives us the side length, which is 20 cm. The volume of a cylinder is calculated by multiplying its base area by its height. In this case, the base area is given as 154 sq. cm and the height is 5 cm. Multiplying these values gives us 770 cubic cm, which is the volume of the cylinder. A cuboid has dimensions of 3 cm, 2 cm, and 2 cm. To find how many cubes of 1 cm side can be cut out of it, we need to divide each dimension of the cuboid by the side length of the cube. Dividing 3 cm by 1 cm gives 3 cubes in the length dimension. Dividing 2 cm by 1 cm gives 2 cubes in the breadth dimension. Dividing 2 cm by 1 cm gives 2 cubes in the height dimension. Multiplying these values together, we get 3 x 2 x 2 = 12 cubes. Therefore, 12 cubes of 1 cm side can be cut out of the cuboid. The curved surface area of a hemisphere is given by the formula 2πr², where r is the radius of the hemisphere. We are given that the curved surface area is 77 cm² . By substituting this value into the formula and solving for r, we find that the radius is 3 . 5 cm. If the volume and surface area of a sphere are numerically equal, it implies that the radius of the sphere is equal to 3 units. This is because the formula for the volume of a sphere is (4/3)πr³ and the formula for the surface area of a sphere is 4πr² . By setting these two equations equal to each other and solving for r, we find that r = 3 units. When the radius of a cylinder is doubled and its height is halved, the curved surface area remains the same. This is because the curved surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. Since the radius has been doubled and the height has been halved, the product rh remains the same, resulting in the same curved surface area. ","cbCaisNVTHFIAkl9","https://ap.wps.com/l/cbCaisNVTHFIAkl9","pdf",38559,"English","# Surface Area and Volume Practice\n## Practice Questions and Worksheets\n## Key Formulas and Worked Examples","[{\"question\":\"What is the difference between a sector and a segment in circle geometry?\",\"answer\":\"A sector is the region enclosed by two radii and an arc. A segment is the region between an arc and a chord, not radii.\"},{\"question\":\"How do you find the lateral surface area of a cube?\",\"answer\":\"The lateral surface area is the sum of areas of the cube’s four side faces. Since each face area equals side length squared, it equals 4 × (side length)^2.\"},{\"question\":\"How do you calculate the volume of a cylinder?\",\"answer\":\"Multiply the base area by the height. Using base area (typically πr²) gives cylinder volume as πr²h.\"}]","Surface Area and Volume Practice - Cone Surface Area and Volume Practice | PDF"]