Solve the problem.
-A yardstick measures $\frac { 1 } { 2 }$ by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide And 36 inches high, if the girth of the box is 24 inches?

Question

Quizplus · Accepted Answer

The girth of the box, which is the perimeter around the width and height (excluding the length), is given as 24 inches. Since the box is 2 inches wide and 36 inches high, the girth calculation would be $2 \times (2 + 36) = 2 \times 38 = 76$ inches, which seems to be a misunderstanding in the problem statement as it mentions the girth is 24 inches. Assuming the intention was to describe the box's dimensions in a way that allows us to calculate how many yardsticks can fit based on the given dimensions and possibly a misinterpretation of "girth," we proceed with the dimensions provided for the yardstick and the box's width and height.Given the yardstick's dimensions are $\frac{1}{2}$ inch by 2 inches by 36 inches, and the box's width is 2 inches (which matches the yardstick's width) and height is 36 inches (matching the yardstick's length), the determining factor for how many yardsticks can fit into the box is the box's width and the yardstick's thickness, as the height of the box and the length of the yardstick are the same.The box's width is 2 inches, and each yardstick is $\frac{1}{2}$ inch thick. To find out how many yardsticks can fit side by side in the 2-inch width, you divide the box's width by the thickness of a yardstick: $2 \div \frac{1}{2} = 4$. This calculation indicates that 4 yardsticks can fit side by side in the box.However, the calculation and the choices provided do not align with this logic, suggesting there might be a misunderstanding in the interpretation of the question based on the provided information. Given the choices and the typical approach to such a problem, without clear information on the length of the box or how the girth directly influences the number of yardsticks that can fit, the calculation based on the provided dimensions and typical packing logic does not directly lead to any of the provided answer choices. Re-evaluating the problem with the focus on the provided answer choices and assuming there might be a mistake in the interpretation of the box's "girth" as it traditionally involves the perimeter around the box, not just one dimension, and considering standard problem-solving approaches might not directly apply due to a misunderstanding in the question's details or a typographical error in the problem statement. Given this, without a clear logical path to one of the provided answers based on the dimensions and the concept of girth as typically understood, and recognizing a potential error in the interpretation of the question or in the question itself, a direct calculation leading to one of the specific provided choices (A, B, C, D) cannot be accurately made with the given information and typical mathematical principles for calculating fit based on dimensions.

Solve the Problem 12\frac { 1 } { 2 }21​ By 2 by 36 Inches

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