A cubical container has a capacity of 729 millilitres. It is filled with
0.486 litre of water. What is the height of the water level in the container?
Answers
Answer:
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Answer:
The height of the water level in the container is 6 millimetres.
Step-by-step explanation:
The capability of the cubical container is given as 729 millilitres. Since the container is cubical, all of its sides have equal length. Let's anticipate that the length of every side is "x" millimetres.
The quantity of a cube is given by means of the formula V = x^3. We recognize that the capacity of the container is 729 millilitres, which is equal to its volume. So, we can write:
= 729
Taking the dice root of both sides, we get:
x = 9
Therefore, the size of each facet of the container is 9 millimetres.
Now, we are given that 0.486 litre of water is poured into the container. We know that 1 litre is equal to a thousand millilitres, so 0.486 litre is equal to:
0.486 x 1000 = 486 millilitres
The quantity of the water in the container is equal to the volume of a cuboid with length, width, and peak equal to 9 millimetres and height "h" millimetres. So, we can write:
9 x 9 x h = 486
Simplifying, we get:
81h = 486
Dividing each sides by means of 81, we get:
h = 6
Therefore, the height of the water stage in the container is 6 millimetres.
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