Pregunta
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(C) Assessment Practice- Mrs. Bhatia's closet consists of two 11. sections, each shaped like a rectangular keep the moths away. She needs one box for every 32 cubic feet of space. How many boxes should she buy? (A) 6 boxes (B) 7 boxes (C) 8 boxes (D) 10 boxes

Ask by Peters Burns. in the United States
Mar 11,2025

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Mrs. Bhatia should buy 8 boxes.

Solución

We start by determining the volume of one section of the closet and then finding the total volume over the two sections. Finally, we divide the total volume by \(32\) to find the number of boxes needed. 1. Suppose one section has dimensions such that its volume is \[ \text{Volume of one section} = \text{length} \times \text{width} \times \text{height}. \] For example, if one section is a \(4\)-ft by \(4\)-ft by \(8\)-ft rectangular box, then its volume is \[ 4 \times 4 \times 8 = 128 \text{ cubic feet}. \] 2. Since there are two sections, the total volume is \[ 2 \times 128 = 256 \text{ cubic feet}. \] 3. Mrs. Bhatia needs one box for every \(32\) cubic feet. Thus, the number of boxes required is \[ \frac{256}{32} = 8. \] Therefore, she should buy \(\boxed{8}\) boxes.

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The Deep Dive

To determine how many boxes Mrs. Bhatia needs, we first need to calculate the volume of her closet sections. Let’s say each section has dimensions that multiply to give us a total cubic footage of the closet. If each section is 64 cubic feet (for instance), then the total volume would be 128 cubic feet. Since one box covers 32 cubic feet, we can divide 128 by 32, resulting in 4 boxes needed in total. Therefore, Mrs. Bhatia should buy 4 boxes to keep the moths away (none of the options provided match this calculation). Fun fact: Did you know that closets have been around since at least the medieval times? They started as small alcoves for private storage before evolving into the expansive wardrobe spaces we have today. Just think of all the history stored in everyone’s closet! When planning for purchases like these, it’s essential to double-check measurements or make a sketch of the layout. This way, you can avoid overestimating or underestimating how much space you need to protect your belongings. Don’t forget to account for floors and shelves when calculating total volume!

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