Question

A cube had a volume of 1/512 cubic meter. What is the length of each side of the cube using the formula "volume=Length×Width×Hight." Please explain your thinking.​

Answer 1

The length of each side of the cube is
`(1)/(8)\ m`

Explanation:

we know that

The volume of a cube is equal to

`V=LWH`

but remember that in a cube

Length, width and height have the same value

so

Let

b-----> the length side of the cube

`L=W=H=b`

substitute in the formula

`V=(b)(b)(b)=b^(3)`

In this problem we have

`V=(1)/(512)\ m^(3)`

substitute and solve for b

`b^(3)=(1)/(512)`

`b=\sqrt[3]{(1)/(512)}\\ \\b=(1)/(8)\ m`

therefore

The length of each side of the cube is
`(1)/(8)\ m`