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Geometry 26 Online
OpenStudy (anonymous):

Find the surface area of a pyramid if its height is 4 cm and its base is a rectangle with side lengths 4 cm and 6 cm. Round to the nearest whole number.

jimthompson5910 (jim_thompson5910):

What is the area of the base?

OpenStudy (anonymous):

24 cm^2

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

|dw:1435548018859:dw|

jimthompson5910 (jim_thompson5910):

|dw:1435548042782:dw|

jimthompson5910 (jim_thompson5910):

|dw:1435548055051:dw|

jimthompson5910 (jim_thompson5910):

do you see how I got that triangle I just added?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

it's a right triangle with legs 3 and 4 the hypotenuse is what?

OpenStudy (anonymous):

5

jimthompson5910 (jim_thompson5910):

|dw:1435548291256:dw|

jimthompson5910 (jim_thompson5910):

we will have 2 triangles on the lateral face of the pyramid that look like this |dw:1435548321950:dw| base = 4 height = 5

jimthompson5910 (jim_thompson5910):

what is the area of that triangle?

OpenStudy (anonymous):

10cm^2

jimthompson5910 (jim_thompson5910):

there are 2 of these triangles, so they add to 10+10 = 20 cm^2 the front and back faces |dw:1435548418230:dw|

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