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Students determine whether two figures are similar and, when they are, state the scale factor. The worksheet also calculates ratios of surface areas and ratios of volumes, finds missing surface area or volume values, and computes the surface area and volume of the larger solid when the smaller solid’s dimensions and a given scale factor are provided. Units vary across problems, including length, area, and volume.",{"@graph":69,"@context":122},[70,84,105],{"@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/similar-solids-similar-solids-practice-worksheet/522951/",{"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/similar-solids-similar-solids-practice-worksheet/522951.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether two figures are similar on this worksheet?","Question",{"text":112,"@type":113},"The worksheet pairs figures and asks students to judge similarity. If they are similar, the next step is to state the scale factor.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do you do after finding the scale factor between similar solids?",{"text":117,"@type":113},"Use the scale factor to find ratios of surface areas and ratios of volumes, and then compute requested surface area or volume values.",{"name":119,"@type":110,"acceptedAnswer":120},"How are missing surface area or volume problems handled here?",{"text":121,"@type":113},"The worksheet provides surface area and volume for one solid and/or a scale factor. Students use similarity relationships to solve for the missing value for the other solid.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522951,1792191214,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Geometry Name   \nSimilar Solids Date  Period   \nAre the two figures similar? If so, state the scale factor.  \nEach pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.  \n5)  \n7)  \nSA = 396 cm²  \nSA = 275 cm²  \nV = 20000 mi³  \nV = 10240 mi³  \n6)  \nSA = 7π in²  \n8)  \nV = 3240 in³  \nSA = 175π in²  \nV = 120 in³  \nEach pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.  \n9)  \n100 mi  \n160 mi  \n80 mi  \n10)  \n42 km  \n63 km  \n63 km  \n36 km  \n36  \n24 km  \nkm  \nThe scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.  \n11) scale factor = 1 : 2 SA = 90 yd² V = 216 yd³  \n12) scale factor = 4 : 9 SA = 256 km² V = 1536 km³  \nSome information about the surface area and volume of two similar solids has been given. Find the missing value.  \n13) Solid \\#1  \nSA = 1088 km² V = 13312 km³  \n15) Solid \\#1 SA = 468 ft² V = 1944 ft³  \nSolid \\#2  \nSA = 425 km² V = ?  \nSolid \\#2 SA = ? V = 9 ft³  \n14) Solid \\#1  \nSA = 1100 yd² V = 19000 yd³  \n16) Solid \\#1 SA = 54 m² V = 648 m³  \nSolid \\#2 SA = 176 yd² V = ?  \nSolid \\#2 SA = ? V = 8232 m³  \nKuta Software-Infinite Geometry Name   \nSimilar Solids Date  Period   \nAre the two figures similar? If so, state the scale factor.  \n1)  \n3)  \n2)  \n4)  \n40 m  \nNo  \n6 cm  \nNo  \n8 m  \n20 m  \n21  \ncm  \nEach pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.  \n5)  \n7)  \nSA = 396 cm²  \n6 : 5  \nSA = 275 cm²  \nV = 20000 mi³  \n5 : 4  \nV = 10240 mi³  \n6)  \nSA = 7π in²  \n1 : 5  \n8)  \nV = 3240 in³  \n3 : 1  \nSA = 175π in²  \nV = 120 in³  \nEach pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.  \n9)  \n100 mi  \n160 mi  \n80 mi  \n10)  \n42 km  \n63 km  \n63 km  \n36 km  \n36  \n24 km  \nkm  \n7 : 4, 49 : 16, 343 : 64  \n5 : 4, 25 : 16, 125 : 64  \nThe scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.  \n11) scale factor = 1 : 2  \nSA = 90 yd²  \nV = 216 yd³  \nSA = 360 yd², V = 1728 yd³  \n12) scale factor = 4 : 9  \nSA = 256 km²  \nV = 1536 km³  \nSA = 1296 km², V = 17496 km³  \nSome information about the surface area and volume of two similar solids has been given. Find the missing value.  \n13) Solid \\#1  \nSA = 1088 km² V = 13312 km³  \nV = 3250 km³  \n15) Solid \\#1 SA = 468 ft² V = 1944 ft³  \nSA = 13 ft²  \nSolid \\#2  \nSA = 425 km² V = ?  \n14) Solid \\#1  \nSA = 1100 yd² V = 19000 yd³  \nSolid \\#2 SA = 176 yd² V = ?  \nV = 1216 yd³  \nSolid \\#2 SA = ? V = 9 ft³  \n16) Solid \\#1 SA = 54 m² V = 648 m³  \nSolid \\#2 SA = ? V = 8232 m³  \nSA = 294 m²  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiojioK5AGcpM","https://ap.wps.com/l/cbCaiojioK5AGcpM","pdf",42356,"English","# Are the two figures similar?\n## Find the scale factor\n# Ratio of surface areas and volumes\n# Find missing surface area and volume\n## Compute the larger solid","[{\"question\":\"How do you determine whether two figures are similar on this worksheet?\",\"answer\":\"The worksheet pairs figures and asks students to judge similarity. If they are similar, the next step is to state the scale factor.\"},{\"question\":\"What do you do after finding the scale factor between similar solids?\",\"answer\":\"Use the scale factor to find ratios of surface areas and ratios of volumes, and then compute requested surface area or volume values.\"},{\"question\":\"How are missing surface area or volume problems handled here?\",\"answer\":\"The worksheet provides surface area and volume for one solid and/or a scale factor. Students use similarity relationships to solve for the missing value for the other solid.\"}]","Similar Solids - Similar Solids Practice Worksheet | PDF",1791426343]