A cubical container is 3/4 filled with water. It contains 4.374l of water. Find the base area of the container.

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

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

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step-by-step explanation:

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