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.

Question

asked Nov 23, 2020 114k views

1 Answer

Ernest Okot · Answer 1 · 2020-11-28T18:43:27+0000

Answer:

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
$(1)/(8)\ m$