The formula for the volume of a rectangular prism is V = lwh. A rectangular prism has a length of 2y 3 and width of 5y. The volume of the prism is 20y 10 + 70y 4 . What is the height of the prism? Show your work.

The formula for the volume of a rectangular prism is V lwh A rectangular prism has a length of 2y 3 and width of 5y The volume of the prism is 20y 10 70y 4 What class=

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Answer:

  h = 2y^6 +7

Step-by-step explanation:

Put the given values into the formula and solve for the unknown.

  V = lwh

  (20y^10 +70y^4) = (2y^3)·(5y)·h

Divide by the coefficient of h.

  (20y^10 +70y^4)/(10y^4) = h = 2y^6 +7

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The rules of exponents apply. Here, you need the ones that say ...

  • (a^b)·(a^c) = a^(b+c)
  • (a^b)/(a^c) = a^(b-c)