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

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.

Answer 2

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.