anonymous
  • anonymous
need help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
mathstudent55
  • mathstudent55
The front and back faces are triangles. What6 is the area of a triangle with base 6 and height 2? |dw:1439845523581:dw|
anonymous
  • anonymous
wow he fast

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mathstudent55
  • mathstudent55
Area of triangle = base * height / 2 What is 6 * 2 / 2 = ?
anonymous
  • anonymous
6
anonymous
  • anonymous
?
mathstudent55
  • 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
mathstudent55
  • 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?
mathstudent55
  • mathstudent55
|dw:1439846034210:dw|
anonymous
  • anonymous
12
mathstudent55
  • 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. |dw:1439846273340:dw|
anonymous
  • anonymous
8
mathstudent55
  • 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. |dw:1439846420666:dw|
anonymous
  • anonymous
6
mathstudent55
  • mathstudent55
Great again. Now we have: Front & back faces 12 Bottom face 12 Right face 8 Left face 6 --------------------- Total Add all the areas above to find the total surface area of the prism.
anonymous
  • anonymous
76
mathstudent55
  • mathstudent55
Somehow you double it. 12 + 12 + 8 + 6 = = 24 + 8 + 6 = 32 + 6 = 38

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