Question

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 1

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 2

x =
`(3)/(2)` feet

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(3)/(8)` cubic feet

Volume of cube shaped table=
`(27)/(8)` cubic feet

Volume of cube=
`x^3`

`x^3=(27)/(8)`

`x^3=((3)/(2))^3`

`x=(3)/(2)`

Hence, the length of an edge of end table,x =
`(3)/(2)` feet.