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It presents four distinct geometry problems with varying dimensions in centimeters and inches, accompanied by a comprehensive answer key that demonstrates the step-by-step calculation process for each specific shape, ensuring students can effectively verify their work and master the mathematical concepts 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do you calculate the surface area of a cuboid?","Question",{"text":63,"@type":64},"The surface area of a cuboid is found by calculating the area of each of its rectangular faces and then adding those areas together to get the total sum.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the surface area of a cuboid with dimensions 5 cm, 3 cm, and 2 cm?",{"text":68,"@type":64},"The surface area is 62 cm², calculated by summing the areas of the faces: 15 cm² (5x3), 10 cm² (5x2), and 6 cm² (3x2), each multiplied by two.",{"name":70,"@type":61,"acceptedAnswer":71},"How does the calculation method change for a cuboid with square-based faces?",{"text":72,"@type":64},"When some faces are identical, such as a cuboid with a 3x3 square base and a 6-inch height, you multiply the areas accordingly: four faces of 18 in² and two faces of 9 in², resulting in a total of 90 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and adding them up.  \n\n| 1) | \u003Cbr> 5 cm \u003Cbr>3 cm\u003Cbr>\u003Cbr> 2 cm |  | Surface area |\n| --- | --- | --- | --- |\n| 2) Surface area\u003Cbr>7 in\u003Cbr>4 in\u003Cbr>2 in\u003Cbr>|  |  |  |\n| 3) 8 cm Surface area\u003Cbr>5 cm\u003Cbr>2 cm |  |  |  |\n| 4) | 6 in\u003Cbr>3 in | 3 in | Surface area |\n\nName Date  \nSURFACE AREA OF CUBOIDS 1 ANSWERS  \n| 1) | 5 cm | Surface area\u003Cbr>Face 1 = 5 x 3 = 15 cm2\u003Cbr>Face 2 = 5 x 2 = 10 cm2 Face 3 = 3 x 2 = 6 cm2\u003Cbr>Surface area = 15 x 2 + 10 x 2 + 6 x 2 = 30 + 20 + 12 = 62 cm2 |\n| --- | --- | --- |\n|  | \u003Cbr>\u003Cbr>3 cm\u003Cbr>\u003Cbr> 2 cm |  |\n| 2)\u003Cbr>7 in\u003Cbr>4 in\u003Cbr>2 in\u003Cbr>|  | Surface area\u003Cbr>Face 1 = 7 x 4 = 28 in2\u003Cbr>Face 2 = 7 x 2 = 14 in2\u003Cbr>Face 3 = 4 x 2 = 8 in2\u003Cbr>Surface area = 28 x 2 + 14 x 2 + 8 x 2 = 56 + 28 + 16 = 100 in2 |\n| 3) | 8 cm\u003Cbr>5 cm\u003Cbr>2 cm | Surface area\u003Cbr>Face 1 = 8 x 5 = 40 cm2 Face 2 = 8 x 2 = 16 cm2\u003Cbr>Face 3 = 5 x 2 = 10 cm2\u003Cbr>Surface area = 40 x 2 + 16 x 2 + 10 x 2 = 80 + 32 + 20 = 132 cm2 |\n| 4) 6 in\u003Cbr>3 in\u003Cbr>3 in |  | Surface area\u003Cbr>Face 1 = 6 x 3 = 18 in2 Face 2 = 3 x 3 = 9 in2 Surface area = 18 x 4 + 9 x 2 = 72 + 18 = 90 in2 |","cbCailv6a4FaiAgJ","https://ap.wps.com/l/cbCailv6a4FaiAgJ","pdf",151888,"English","# Introduction to Surface Area\n## Surface Area Practice Problems\n## Answer Key and Solutions","[{\"question\":\"How do you calculate the surface area of a cuboid?\",\"answer\":\"The surface area of a cuboid is found by calculating the area of each of its rectangular faces and then adding those areas together to get the total sum.\"},{\"question\":\"What is the surface area of a cuboid with dimensions 5 cm, 3 cm, and 2 cm?\",\"answer\":\"The surface area is 62 cm², calculated by summing the areas of the faces: 15 cm² (5x3), 10 cm² (5x2), and 6 cm² (3x2), each multiplied by two.\"},{\"question\":\"How does the calculation method change for a cuboid with square-based faces?\",\"answer\":\"When some faces are identical, such as a cuboid with a 3x3 square base and a 6-inch height, you multiply the areas accordingly: four faces of 18 in² and two faces of 9 in², resulting in a total of 90 in².\"}]","Surface Area of Cuboids 1 - 6th Grade Math Practice | PDF",1792682538]