https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:mensuration/x3f4c73d082a798eb:surface-area-of-solids/v/surface-area-of-a-rectangular-pyramid 2025-06-09T15:36:58.137149685Z Surface area of a rectangular pyramid Given a right rectangular (non-square) pyramid with the dimensions of the base and the height of the pyramid, let's find the lateral and total surface area. We'll use the Pythagorean theorem to find the slant heights of the lateral faces. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Surface area of a rectangular pyramid Given a right rectangular (non-square) pyramid with the dimensions of the base and the height of the pyramid, let's find the lateral and total surface area. We'll use the Pythagorean theorem to find the slant heights of the lateral faces. https://cdn.kastatic.org/ka-youtube-converted/zNL3W-rXbY0.mp4/zNL3W-rXbY0.mp4 338 Surface area https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:patterns-arithmetic-and-geometric-sequence-and-series/x24dc5a0902f75de5:surface-area/v/surface-area-of-a-cone 2025-06-09T15:36:58.137149685Z Surface area of a cone To find the surface area of a right circular cone, we can draw its net, which looks like a circle and a sector. Let's build intuition for where the general formulas for lateral surface area and total surface area of a cone come from, then apply them to a specific cone. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Surface area of a cone To find the surface area of a right circular cone, we can draw its net, which looks like a circle and a sector. Let's build intuition for where the general formulas for lateral surface area and total surface area of a cone come from, then apply them to a specific cone. https://cdn.kastatic.org/ka-youtube-converted/9w6qYXatwkM.mp4/9w6qYXatwkM.mp4 376 Surface area https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:mensuration/x3f4c73d082a798eb:surface-area-of-solids/v/surface-area-of-an-octagonal-pyramid 2025-06-09T15:36:58.137149685Z Surface area of an octagonal pyramid Given a right pyramid with a regular octagon as the base, let's find the lateral and total surface area. Since the base is a regular octagon, we can use trigonometric ratios to help find the areas of the base and the lateral faces. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Surface area of an octagonal pyramid Given a right pyramid with a regular octagon as the base, let's find the lateral and total surface area. Since the base is a regular octagon, we can use trigonometric ratios to help find the areas of the base and the lateral faces. https://cdn.kastatic.org/ka-youtube-converted/Pfoy2IW7oHw.mp4/Pfoy2IW7oHw.mp4 442 Surface area https://www.khanacademy.org/math/revision-term-1-od-math-class-10/x03e14a980a7a91ad:week-3/x03e14a980a7a91ad:mensuration/v/surface-area-of-sphere-computation-and-sense-of-formula 2024-01-17T11:25:19.383730229Z Surface area of sphere: computation and sense of formula Why Is the formula for surface area of sphere equal to 4pir^2? And applying its formula to find the surface area. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Surface area of sphere: computation and sense of formula Why Is the formula for surface area of sphere equal to 4pir^2? And applying its formula to find the surface area. https://cdn.kastatic.org/ka-youtube-converted/IZ4DpWYO3kY.mp4/IZ4DpWYO3kY.mp4 270 Surface area https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:mensuration/x3f4c73d082a798eb:surface-area-of-solids/e/lateral-total-surface-area-of-prisms-pyramids-cones-and-spheres 2025-07-14T17:52:37.554692358Z Lateral & total surface area of prisms, pyramids, cones, and spheres Find the lateral and total surface area of prisms, pyramids, cones, and spheres, including figures with regular polygon bases. Charlie Auen exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-surface-area/v/surface-area-word-problem-example 2023-09-21T21:49:35.177342261Z Surface area word problem example Akira won a science fair and got a golden pyramid trophy. We want to find out how much gold foil was used. The trophy has a square base and four triangular faces. By calculating the area of these shapes, we can find the total surface area covered by the gold foil. video https://cdn.kastatic.org/ka_thumbnails_cache/f197e8ba-6c6d-454e-abb0-4e86e4a315d6_1280_720_base.png Surface area word problem example Akira won a science fair and got a golden pyramid trophy. We want to find out how much gold foil was used. The trophy has a square base and four triangular faces. By calculating the area of these shapes, we can find the total surface area covered by the gold foil. https://cdn.kastatic.org/ka-youtube-converted/ODNCH3gSKdA.mp4/ODNCH3gSKdA.mp4 275 Surface area https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-surface-area/e/surface-area-word-problems 2026-03-31T08:52:19.062243676Z Surface area word problems Solve word problems that involve surface area of pyramids and prisms. Lindsay exercise