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

Answer:

The length of each side of the cube is $\frac{1}{8}\ m$

Step-by-step 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

$V=\frac{1}{512}\ m^{3}$

substitute and solve for b

$b^{3}=\frac{1}{512}$

$b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m$

therefore

The length of each side of the cube is $\frac{1}{8}\ m$