Question

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

Answer 1

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

Answer 2

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

$V_1 + V_2 = 128 ~ \texttt{cm}^3$

$V + V = 128 ~ \texttt{cm}^3$

$2V = 128 ~ \texttt{cm}^3$

$V = 128 ~ \texttt{cm}^3 \div 2$

$V = 64 ~ \texttt{cm}^3$

$(\texttt{Side Length})^3 = 64 ~ \texttt{cm}^3$

$(\texttt{Side Length}) = \sqrt[3]{64 ~ \texttt{cm}^3}$

$(\texttt{Side Length}) = \boxed {4 ~ \texttt{cm}}$

Conclusion:

The measure of one cubes edge is 4 cm

Learn more

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