Mathematics: Acube 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. explain your thinking.

yes Explanation:They love them to...

Acube had a volume of 1/512 cubic meter. what is

janeou17xn

12.01.2022

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

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 $\frac{1}{8}\ m$

0,0(0 оценок)