A warehouse is

5757

yards​ long,

2929

yards​ wide, and

88

yards high. What is the area of the warehouse​ floor? If the warehouse is filled to half its height with tightly packed​ boxes, what is the volume of the​ boxes?

To solve the problem, we need to break it into two parts: 

### 1. **Area of the warehouse floor:**
The warehouse floor is rectangular, and its area can be found using the formula for the area of a rectangle:

\[
\text{Area} = \text{Length} \times \text{Width}
\]

The length of the warehouse is 5757 yards, and the width is 2929 yards. Thus,

\[
\text{Area} = 5757 \, \text{yards} \times 2929 \, \text{yards}
\]

### 2. **Volume of the boxes (half the warehouse's height):**
The warehouse has a height of 88 yards, but the boxes only fill half of this height. So, the effective height for the boxes is:

\[
\text{Half height} = \frac{88}{2} = 44 \, \text{yards}
\]

The volume of the tightly packed boxes would be the volume of a rectangular prism with the same length and width as the warehouse, and the height of 44 yards. The volume is calculated as:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Let's calculate both values.

First, calculating the area of the warehouse floor.### Solutions:

1. **Area of the warehouse floor**: 
\[
16,862,253 \, \text{square yards}
\]

2. **Volume of the boxes (half the warehouse's height)**: 
\[
741,939,132 \, \text{cubic yards}
\]

Would you like further details on any of the steps or additional explanations?

Here are 5 related questions:
1. How would the volume change if the boxes filled the entire warehouse?
2. What is the total volume of the warehouse if it's fully filled?
3. How would you calculate the perimeter of the warehouse floor?
4. If the height of the warehouse were increased by 10 yards, how would that affect the volume of boxes?
5. What is the ratio of the area of the floor to the volume of the warehouse?

**Tip**: When solving geometric problems, it's helpful to break them into manageable parts, like calculating areas and volumes separately.

A warehouse is 5757 yards long, 2929 yards wide, and 88 yards high. What is the area of the warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?

Learn how to calculate the area of a warehouse floor measuring 5757 yards by 2929 yards, and find the volume of boxes filling half the height of the warehouse, which is 88 yards tall. This problem involves key geometric concepts like area and volume. Suitable for Grades 6-8.

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