A warehouse is 62 yards long, 28 yards wide, and 7 yards high. What is the area of the warehouse floor? If the warehouse is filled to half its height with the tightly packed boxes, what is the volume of the boxes?
Question
Answer:
To find the area of the warehouse floor, we need to multiply the length and width of the warehouse.
Area of the warehouse floor = Length * Width
Given that the length of the warehouse is 62 yards and the width is 28 yards, the area of the warehouse floor is:
Area of the warehouse floor = 62 yards * 28 yards = 1736 square yards
Therefore, the area of the warehouse floor is 1736 square yards.
To find the volume of the boxes when the warehouse is filled to half its height, we need to calculate the volume of the space occupied by the boxes.
The height of the warehouse is 7 yards, and when the warehouse is filled to half its height, the height occupied by the boxes is 7 yards / 2 = 3.5 yards.
The volume of the boxes is equal to the area of the warehouse floor multiplied by the height occupied by the boxes.
Volume of the boxes = Area of the warehouse floor * Height of the boxes
Volume of the boxes = 1736 square yards * 3.5 yards = 6076 cubic yards
Therefore, the volume of the boxes is 6076 cubic yards.
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11 months ago
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