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krek1111 [17]
3 years ago
14

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

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0
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
AleksAgata [21]3 years ago
5 0

The measure of one cubes edge is 4 cm

<h3>Further explanation</h3>

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 !

<u>Given:</u>

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}}

<h2>Conclusion:</h2>

The measure of one cubes edge is 4 cm

<h3>Learn more</h3>
  • 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

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Three Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width , Cube , Identical , Edge

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Read 2 more answers
1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by 33\frac{1}{3} %

Step-by-step explanation:

1. The given is:

  • Dorothy bought a teddy bear and sold it at a 20% profit to Kim
  • Kim bought a suit costing $100 and dressed the teddy bear up in the suit
  • Kim then sold the teddy bear in the suit to Karen for $442
  • Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→  Buying price    :    Profit    :    Selling price

→  100%                 :   20%       :    120% ⇒ (100% + 20%)

→  x                         :                 :    ?

By using cross multiplication  

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

  up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→  Cost price    :    Profit    :    Selling price

→  100%             :   30%      :    130% ⇒ (100% + 30%)

→  1.2x + 100     :                 :    442

By using cross multiplication  

∴ (1.2x + 100) × 130% =  100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

  • x is less than y by 25%
  • Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = \frac{y-x}{x} × 100%

∵ The percentage of increasing of y = \frac{100-75}{75} × 100%

∴ The percentage of increasing of y = \frac{25}{75} × 100%

∴ The percentage of increasing of y = \frac{1}{3} × 100%

∴ The percentage of increasing of y = 33\frac{1}{3} %

y is more than x by 33\frac{1}{3} %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

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