A box with a square base has length plus girth of 92 in as shown in the figure. (Girth is the distance "around" the box.)

What is the length of the box (in inches) if its volume is 1,800 in^3? (Round your answers to one decimal place.)

smaller l value = ? in
larger l value = ? in

A box with a square base has length plus girth of 92 in as shown in the figure Girth is the distance around the box What is the length of the box in inches if i class=

Respuesta :

Answer:

smaller in valuer 3

Step-by-step explanation:

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Answer:
smaller l value = 11.1 in
larger l value = 35.9 in

Explanation:
Let's denote the length of the box as "l" and the side length of the square base as "s". We know that the length plus girth is 92 inches, so we have the equation 4s + 2l = 92. We also know that the volume of the box is 1800 in^3, so we have the equation l * s^2 = 1800. By solving these equations simultaneously, we can find the values of "l" and "s". Then, we can determine the smaller and larger values of "l".