The measure of one cubes edge is 5 cm
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 !
Given:
The combined volume of two identical cubes is 250 cm³.
Let : Volume of The Cube = V₁ = V₂ = V
[tex]V_1 + V_2 = 250 ~ \texttt{cm}^3[/tex]
[tex]V + V = 250 ~ \texttt{cm}^3[/tex]
[tex]2V = 250 ~ \texttt{cm}^3[/tex]
[tex]V = 250 ~ \texttt{cm}^3 \div 2[/tex]
[tex]V = 125 ~ \texttt{cm}^3[/tex]
[tex](\texttt{Side Length})^3 = 125 ~ \texttt{cm}^3[/tex]
[tex](\texttt{Side Length}) = \sqrt[3]{125 ~ \texttt{cm}^3}[/tex]
[tex](\texttt{Side Length}) = \boxed {5 ~ \texttt{cm}}[/tex]
The measure of one cubes edge is 5 cm
Grade: College
Subject: Mathematics
Chapter: Three Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width , Cube , Identical , Edge
