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OpenStudy (anonymous):
OpenStudy (mathstudent55):
The front and back faces are triangles.
What6 is the area of a triangle with base 6 and height 2?
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OpenStudy (anonymous):
wow he fast
OpenStudy (mathstudent55):
Area of triangle = base * height / 2
What is 6 * 2 / 2 = ?
OpenStudy (anonymous):
6
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OpenStudy (anonymous):
?
OpenStudy (mathstudent55):
Correct.
There are a front face and a back face, each with area 6, so from the front and back faces we have an area of 2 * 6 = 12
OpenStudy (mathstudent55):
Now we have three rectangles.
The bottom rectangle has sides 2 and 6
What is the area of a rectangle with sides 2 and 6?
OpenStudy (mathstudent55):
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OpenStudy (anonymous):
12
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OpenStudy (mathstudent55):
Great.
So far we have:
Front & back faces 12
Bottom face 12
Now we need the right face.
It's a rectangle 2 by 4.
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OpenStudy (anonymous):
8
OpenStudy (mathstudent55):
Great.
So far we have:
Front & back faces 12
Bottom face 12
Right face 8
One more face. The left face. It's a rectangle 3 by 2.
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OpenStudy (anonymous):
6
OpenStudy (mathstudent55):
Great again.
Now we have:
Front & back faces 12
Bottom face 12
Right face 8
Left face 6
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Total
Add all the areas above to find the total surface area of the prism.
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