Larger pets need to be transported in larger portable kennels. Using a graphing calculator and the relationship between the widt
h, 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.
1 answer:
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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