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Larger pets need to be transported in larger portable kennels. Using a graphing calculator and the relationship between the width, length, and height, find the dimensions of a portable kennel whose volume is 7.4 ft3. The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of a portable kennel with a volume of 7.4 ft3? Use a graphing calculator to solve. Round the dimensions to the nearest tenth.

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sqdancefan

Answer:

  • width: 1.9 ft
  • length: 2.3 ft
  • height: 1.7 ft

Step-by-step explanation:

The volume of a rectilinear shape is given by ...

  V = W·L·H . . . . . where W, L, and H represent width, length, and height

Filling in the given information, we want to find a solution to ...

  7.4 = x(x +0.4)(x -0.2)

If we write ...

  f(x) = x(x +0.4)(x -0.2)

Then we're looking for the value of x that satisfies ...

  f(x) -7.4 = 0

The attached graph shows that value to be 1.897, about 1.9 (feet). Then the desired kennel dimensions are ...

  • width: 1.9 ft
  • length: 2.3 ft
  • height: 1.7 ft
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