Answered

The volume of a cube is given by V= x cubed where x is the length of an edge of the cube. A cube shaped end table has the volume of 3 3/8 cubic feet. What is the length of an edge of the end of the table? Explain how you solved this problem.



Answer :

SlowZasob
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.
lublana

Answer:

x =[tex]\frac{3}{2}[/tex] feet

Step-by-step explanation:

We are given that Volume of cube =[tex]x^3[/tex] where x is the length of an edge of the cube.

We have to find the length of edge of table

Volume of cube shaped table=[tex]3\frac{3}{8}[/tex] cubic feet

Volume of cube shaped table=[tex]\frac{27}{8}[/tex] cubic feet

Volume of cube=[tex]x^3[/tex]

[tex]x^3=\frac{27}{8}[/tex]

[tex]x^3=(\frac{3}{2})^3[/tex]

[tex]x=\frac{3}{2}[/tex]

Hence, the length of an edge of end table,x =[tex]\frac{3}{2}[/tex] feet.