The measure of one cubes edge is 5 cm
<h3>Further explanation</h3>
To solve the above questions, we need to recall some of the formulas as follows:
Volume of Prism = Base Area × Height
Area of Square = (Side Length)²
Volume of Cube = (Side Length)³
Side Length of Cube = ∛ ( Volume of Cube )
Let us now tackle the problem !
<u>Given:</u>
The combined volume of two identical cubes is 250 cm³.
Let : Volume of The Cube = V₁ = V₂ = V
![V_1 + V_2 = 250 ~ \texttt{cm}^3](https://tex.z-dn.net/?f=V_1%20%2B%20V_2%20%3D%20250%20~%20%5Ctexttt%7Bcm%7D%5E3)
![V + V = 250 ~ \texttt{cm}^3](https://tex.z-dn.net/?f=V%20%2B%20V%20%3D%20250%20~%20%5Ctexttt%7Bcm%7D%5E3)
![2V = 250 ~ \texttt{cm}^3](https://tex.z-dn.net/?f=2V%20%3D%20250%20~%20%5Ctexttt%7Bcm%7D%5E3)
![V = 250 ~ \texttt{cm}^3 \div 2](https://tex.z-dn.net/?f=V%20%3D%20250%20~%20%5Ctexttt%7Bcm%7D%5E3%20%5Cdiv%202)
![V = 125 ~ \texttt{cm}^3](https://tex.z-dn.net/?f=V%20%3D%20125%20~%20%5Ctexttt%7Bcm%7D%5E3)
![(\texttt{Side Length})^3 = 125 ~ \texttt{cm}^3](https://tex.z-dn.net/?f=%28%5Ctexttt%7BSide%20Length%7D%29%5E3%20%3D%20125%20~%20%5Ctexttt%7Bcm%7D%5E3)
![(\texttt{Side Length}) = \sqrt[3]{125 ~ \texttt{cm}^3}](https://tex.z-dn.net/?f=%28%5Ctexttt%7BSide%20Length%7D%29%20%3D%20%5Csqrt%5B3%5D%7B125%20~%20%5Ctexttt%7Bcm%7D%5E3%7D)
![(\texttt{Side Length}) = \boxed {5 ~ \texttt{cm}}](https://tex.z-dn.net/?f=%28%5Ctexttt%7BSide%20Length%7D%29%20%3D%20%5Cboxed%20%7B5%20~%20%5Ctexttt%7Bcm%7D%7D)
<h2>Conclusion:</h2>
The measure of one cubes edge is 5 cm
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: College
Subject: Mathematics
Chapter: Three Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width , Cube , Identical , Edge