The volume of a cube is given by [tex]V = x^3[/tex], where [tex]x[/tex] is the length of an edge of the cube.

A cube-shaped end table has a volume of [tex]3 \frac{3}{8}[/tex] cubic feet. What is the length of an edge of the table?

Explain how you solved this problem.

It'll be easer if we write the volume of the table as a decimal - 3 3/8 is as much as 3,375. Now we just have to find the cube root of 3,375:
∛3,375 = 1,5
Doublecheck: 1,5³ = 1,5 * 1,5 * 1,5 = 3,375, so it's correct.
Answer: The length of the edge is 3,375 feet.

Answered by SlowZasob | 2024-06-10

x = 2 3 ​ feet ;

Answered by lublana | 2024-06-12

The length of an edge of the cube-shaped end table is 2 3 ​ feet. This was found by converting the volume from a mixed number to an improper fraction and then taking the cube root to solve for x . Lastly, we confirmed that x equals 2 3 ​ feet.
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Answered by lublana | 2024-09-26