The capacity of a rectangular container is 720 m³. The base of the container measures 3 m by 6 m. It is filled with some liquid. The height of the container is 5 times the height of the liquid. What is the height of the liquid in the container?Height of the liquid in the container: _____ m.
Question
The capacity of a rectangular container is 720 m³. The base of the container measures 3 m by 6 m. It is filled with some liquid. The height of the container is 5 times the height of the liquid. What is the height of the liquid in the container?Height of the liquid in the container: _____ m.
Solution
The capacity of a rectangular container is given by the formula:
Volume = length * width * height
We know the volume (720 m³) and the dimensions of the base (3 m * 6 m), so we can solve for the total height of the container:
720 m³ = 3 m * 6 m * height 720 m³ = 18 m² * height height = 720 m³ / 18 m² height = 40 m
The problem states that the height of the container is 5 times the height of the liquid. Therefore, to find the height of the liquid, we divide the total height by 5:
Height of the liquid = height / 5 Height of the liquid = 40 m / 5 Height of the liquid = 8 m
So, the height of the liquid in the container is 8 meters.
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