Mathematics: The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 A cube of gold weighs 652 grams. Calculate the length of the edge of the cube in centimeters. Answer with two decimal places.

17% would be equal to 17/100. 4/25 is equivalent to 16/100. Therefore, 17% is larger....

The relationship between the weight y gram and

Ответ:

issaicnotisaac

21.01.2022

Mathematics

The length of the edge of the cube is 3.23 cm .

Step-by-step explanation:

We have , The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 or y = 19.3x^3 . A cube of gold weighs 652 grams i.e. y = 652 . Let's calculate value of x from above data:

y = 19.3x^3

⇒ y = 19.3x^3

⇒ 652= 19.3x^3

⇒ 19.3x^3=652

⇒ $\frac{19.3}{19.3}x^3=\frac{652}{19.3}$

⇒ $x^3=\frac{652}{19.3}$

⇒ $\sqrt[\frac{1}{3} ]{x^3} = \sqrt[\frac{1}{3} ]{\frac{652}{19.3}}$

⇒ $({x^3})^\frac{1}{3} =({\frac{652}{19.3}})^\frac{1}{3}$

⇒ $x =(33.78)^\frac{1}{3}$

⇒ x =3.23

Therefore, the length of the edge of the cube is 3.23cm.

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The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 A cube of gold weighs 652 grams. Calculate the length of the edge of the cube in centimeters. Answer with two decimal places.

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