Question

[Nguyễn Minh Tùng]

Problem 8. A cuboid container has dimensions as in the figure. The container has 54 liters of water in it. Bình wants to know a full bucket contains how many liters of water, so he pours the whole bucket of water into the container and finds that the level of the water is now 7 8 the height of the container. From that, he is able to calculate how many liters of water a full bucket contains. If the container is empty, how many buckets of water must Bình pour into the container to make it full?

Answer 1

[Cậu Bé Cung Thiên Bình]

Vấn đề 8. Một container có hình khối có kích thước như trong hình. Các thùng có 54 lít nước trong đó. Bình muốn biết một xô đầy chứa bao nhiêu lít nước , do đó, ông đổ cả xô nước vào container và thấy rằng mức độ của nước tại 7 8 là chiều cao của container. Từ đó, ông có thể tính toán bao nhiêu lít nước một xô đầy chứa . Nếu container rỗng , bao nhiêu xô nước phải Bình đổ vào các container để làm cho nó đầy đủ?

Answer 2

[Trần Hùng]

To solve this problem, let's break it down step by step.

Step 1: Calculate the volume of the cuboid container.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Height

Given:
Length = 12 meters
Width = 6 meters
Height = 4 meters

Volume = 12 × 6 × 4 = 288 cubic meters

Step 2: Convert the volume to liters.
Since 1 cubic meter = 1000 liters, we have:
Volume = 288 × 1000 = 288,000 liters

Step 3: Determine the volume of water after pouring a full bucket.
The water level after pouring the bucket is at 7/8 the height of the container, which means the volume of water is 7/8 of the volume of the container.

Volume of water = (7/8) × 288,000 liters = 252,000 liters

Step 4: Calculate the volume of water in one bucket.
Since initially, there were 54 liters in the container and after pouring the bucket, there were 252,000 liters, the volume of water in one bucket can be found by subtracting the initial volume from the final volume.

Volume of water in one bucket = 252,000 liters - 54 liters = 251,946 liters

Step 5: Determine how many buckets are needed to fill the container.
To find out how many buckets are needed to fill the container, divide the volume of the container by the volume of water in one bucket.

Number of buckets needed = 288,000 liters / 251,946 liters ≈ 1.144

Since Bình cannot pour a fraction of a bucket, he would need to pour 2 buckets of water to fill the container completely.