Mathematics

Question

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

2 Answer

  • 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
  • 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

    Learn more

    • The perimeter of a polygon : https://brainly.com/question/6361596
    • The perimeter of a rectangle : https://brainly.com/question/7619923
    • The perimeter of a triangle : https://brainly.com/question/2299951
    • Wheat Grass Planters : https://brainly.com/question/10222529

    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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