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n200080 [17]
2 years ago
13

10. A triangular pyramid has a volume of 60 cubic centimeters. The

Mathematics
1 answer:
son4ous [18]2 years ago
5 0

Answer:

<u>3 cm</u>

Step-by-step explanation:

The formula for the volume of a pyramid is :

  • V = \frac{Ah}{3}

<u>Given</u>

  • Volume = 60 cm³
  • Base Area = 12 cm x 5 cm = 60 cm²

<u>Solving</u>

  • 60 = 60 x h x 1/3
  • 60 = 20h
  • h = 60/20 = <u>3 cm</u>
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Next, square both sides:

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Next, subtract x and add 2 to both sides of the equation:

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Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

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