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.

Verified Answer :

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.

Answer:

x =\(\frac{3}{2}\) feet

Step-by-step explanation:

We are given that Volume of cube =\(x^3\) 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=\(3\frac{3}{8}\) cubic feet

Volume of cube shaped table=\(\frac{27}{8}\) cubic feet

Volume of cube=\(x^3\)

\(x^3=\frac{27}{8}\)

\(x^3=(\frac{3}{2})^3\)

\(x=\frac{3}{2}\)

Hence, the length of an edge of end table,x =\(\frac{3}{2}\) feet.