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The combined volume of two identical cubes is 250 cubic centimeters. what is the measure of one cubes edge?

Sagot :

one cube is half of the volume of two cubes,so 125 cubic centimeters.
Johanrusliidn

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

[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]

Conclusion:

The measure of one cubes edge is 5 cm

Learn more

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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

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