the combined volume of two identical cubes is 128 cu cm. what is the side length of each cube?
Question
2 Answer

1. User Answers egenriether
The volume of a cube is L^3 where L is a side length. Here we have 2 identical cubes so
128=2L^3. Divide by 2 then
64=L^3. Take cube root of both sides to get
L=4 
2. User Answers johanrusli
The measure of one cubes edge is 4 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 128 cm³.
Let : Volume of The Cube = V₁ = V₂ = V
[tex]V_1 + V_2 = 128 ~ \texttt{cm}^3[/tex]
[tex]V + V = 128 ~ \texttt{cm}^3[/tex]
[tex]2V = 128 ~ \texttt{cm}^3[/tex]
[tex]V = 128 ~ \texttt{cm}^3 \div 2[/tex]
[tex]V = 64 ~ \texttt{cm}^3[/tex]
[tex](\texttt{Side Length})^3 = 64 ~ \texttt{cm}^3[/tex]
[tex](\texttt{Side Length}) = \sqrt[3]{64 ~ \texttt{cm}^3}[/tex]
[tex](\texttt{Side Length}) = \boxed {4 ~ \texttt{cm}}[/tex]
Conclusion:
The measure of one cubes edge is 4 cm
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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