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24.05.2021 •
Mathematics
A cubical container is 3/4 filled with water. It contains 4.374l of water. Find the base area of the container.
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Ответ:
The base area is 3.24 dm^3
Step-by-step explanation:
Let the total volume of the cube be x l
3/4 of this is 4.374 l
Thus, we have it that;
3/4 * x = 4.374
3x = 4 * 4.374
x = (4 * 4.374)/3
x = 5.832 L
The volume of a cube is the length of its side raised to the power of 3
Let us have the length as y
so;
y^3 = 5.832
y = cube root of 5.832
y = 1.8 dm
The area of the base is simply the side length raised to the power of 2
we have this as:
1.8 * 1.8 = 3.24 dm^2
Ответ: