Surface Area | MathHelp.com - By MathHelp.com
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| 00:0-1 | In this example , we're asked to find the surface | |
| 00:02 | area of the given pyramid . To find the surface | |
| 00:06 | area of a pyramid , we simply add the areas | |
| 00:09 | of the faces of the pyramid . So let's start | |
| 00:12 | with the base of the given pyramid . We can | |
| 00:15 | see that the base is a square with sides that | |
| 00:17 | each have a length of seven ft . And remember | |
| 00:20 | that the formula for the area of the square is | |
| 00:23 | side squared , so the formula for the area of | |
| 00:26 | the base of the pyramid is side squared . and | |
| 00:32 | since each side has a length of seven ft , | |
| 00:35 | we have seven ft squared , Which equals 49 ft | |
| 00:43 | squared . So the area of the base of the | |
| 00:47 | pyramid is 49 square feet . Next notice that there | |
| 00:52 | are four sides of the pyramid and each side is | |
| 00:55 | a triangle with the base of seven ft and a | |
| 00:57 | height of 10 ft . And remember that the formula | |
| 01:01 | for the area of a triangle is one half base | |
| 01:04 | times height . So the formula for the area of | |
| 01:07 | each side of the pyramid Is 1/2 base times height | |
| 01:15 | . And since each side has a base of seven | |
| 01:17 | ft and a height of 10 ft , we can | |
| 01:20 | plug this information into the formula to get one half | |
| 01:25 | times seven ft , times 10 ft seven ft , | |
| 01:32 | times 10 ft is 70 ft squared and one half | |
| 01:36 | times 70 ft squared is 35 ft squared . So | |
| 01:43 | the area of each side of the pyramid is 35 | |
| 01:46 | square feet . Therefore the area of all four sides | |
| 01:51 | of the pyramid Is four times 35 square feet . | |
| 01:58 | Yeah , Which equals 140 square feet . Finally , | |
| 02:06 | to find the total surface area of the given pyramid | |
| 02:10 | , We add the area of the base 49 square | |
| 02:14 | feet Plus the area of all four sides of the | |
| 02:20 | pyramid , 140 square feet . To get 189 sq | |
| 02:31 | ft . So the total surface area of the given | |
| 02:39 | pyramid is 189 square feet . |
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