The measure of one cubes edge is 5 cm
Further explanation
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
\(V_1 + V_2 = 250 ~ \texttt{cm}^3\)
\(V + V = 250 ~ \texttt{cm}^3\)
\(2V = 250 ~ \texttt{cm}^3\)
\(V = 250 ~ \texttt{cm}^3 \div 2\)
\(V = 125 ~ \texttt{cm}^3\)
\((\texttt{Side Length})^3 = 125 ~ \texttt{cm}^3\)
\((\texttt{Side Length}) = \sqrt[3]{125 ~ \texttt{cm}^3}\)
\((\texttt{Side Length}) = \boxed {5 ~ \texttt{cm}}\)
Conclusion:
The measure of one cubes edge is 5 cm
Learn more
- The perimeter of a polygon : https://brainly.com/question/6361596
- The perimeter of a rectangle : https://brainly.com/question/7619923
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Answer details
Grade: College
Subject: Mathematics
Chapter: Three Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width , Cube , Identical , Edge
