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.
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.