{"id":621511,"date":"2023-06-20T19:26:24","date_gmt":"2023-06-20T13:56:24","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/if-the-perimeter-of-one-face-of-a-cube-is-20cm-then-find-the-surface-area\/"},"modified":"2025-06-19T19:50:38","modified_gmt":"2025-06-19T14:20:38","slug":"if-the-perimeter-of-one-face-of-a-cube-is-20cm-then-find-the-surface-area","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/if-the-perimeter-of-one-face-of-a-cube-is-20cm-then-find-th\/","title":{"rendered":"If the perimeter of one face of a cube is 20cm, then find the surface area."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"If the perimeter of one face of a cube is 20cm, then find the surface area.","custom_permalink":"question\/mathematics\/if-the-perimeter-of-one-face-of-a-cube-is-20cm-then-find-th\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:normal\"><span>If the perimeter of one face of a cube is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>20<\/mn><mi mathvariant=\"italic\">cm<\/mi><\/math><span>, then find the surface area.<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><spanstyle=\"-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><spanstyle=\"-aw-import:ignore\"><p><\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>120<\/mn><mi>c<\/mi><msup><mrow><mi>m<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><span> <\/span>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>150<\/mn><mi>c<\/mi><msup><mrow><mi>m<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><span> <\/span>","correct":true},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>125<\/mn><mi>c<\/mi><msup><mrow><mi>m<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><span> <\/span>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>400<\/mn><mi>c<\/mi><msup><mrow><mi>m<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><span> <\/span><span>&nbsp;<\/span>","correct":false}],"solution":"<span>Given that, the perimeter of one face of the cube = 20cm.<\/span><br><span>Perimeter of one face of a cube be,<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mi>a<\/mi><mo>=<\/mo><mn>20<\/mn><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><mo>=<\/mo><mn>5<\/mn><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">cm<\/mi><\/math><span> <\/span><span>The surface area of a cube <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>6<\/mn><msup><mrow><mi>a<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>6<\/mn><mo>\u00d7<\/mo><mn>5<\/mn><mo>\u00d7<\/mo><mn>5<\/mn><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>=<\/mo><mn>150<\/mn><mi>c<\/mi><msup><mrow><mi>m<\/mi><\/mrow><mrow><mn>2<\/mn><\/mrow><\/msup><\/math><span> <\/span><span>Therefore, option 2 is correct.<\/span><br><span>&nbsp;<\/span>","subject":"Mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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