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Lelechka [254]
3 years ago
5

The volume of the cube is 216 cubic units what is the side length

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

The side length is six units.

A cube has three measurements: length, width, and height

All the measurements have to be the same.

This allows you to cube root.

The cube root of 216 is 6.

The side length of the cube is 6 units.

Check:

6 * 6 * 6 = 216.

It is correct, so our answer is proven to be correct.

Furkat [3]3 years ago
5 0

Answer:

6 cubic units

Step-by-step explanation:

The formula to find the volume of a cube is

<em>Volume</em><em>=</em><em> </em><em>Length</em><em>*</em><em>Breadth</em><em>*</em><em>Height</em>

<em>The</em><em> </em><em>question</em><em> </em><em>states</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>cube</em><em> </em><em>is</em><em> </em><em>26</em><em> </em><em>cubic</em><em> </em><em>units</em><em>.</em><em> </em>

<em>But</em><em> </em><em>we</em><em> </em><em>need</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>side</em><em> </em><em>length</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>cube</em><em>.</em><em> </em>

<em>To</em><em> </em><em>do</em><em> </em><em>this</em><em>,</em><em> </em><em>we</em><em> </em><em>simply</em><em> </em><em>do</em><em> </em><em>the</em><em> </em><em>opposite</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>formula</em><em> </em><em>to</em><em> </em><em>solve</em><em> </em><em>for the</em><em> </em><em>volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>cube</em><em>:</em>

<em>\sqrt[3]{216}  = 6</em>

<em>If</em><em> </em><em>the</em><em> </em><em>formula</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>volume</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>cube</em><em> </em><em>is</em><em> </em><em>length</em><em>*</em><em>breadth</em><em>*</em><em>height</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em> </em><em>To</em><em> </em><em>solve</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>side</em><em> </em><em>length</em><em>,</em><em> </em><em>all</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>to</em><em> </em><em>do</em><em> </em><em>is</em><em> </em><em>do</em><em> </em><em>the</em><em> </em><em>OPPOSITE</em><em>.</em><em> </em><em>FIND</em><em> </em><em>THE</em><em> </em><em>CUBE</em><em> </em><em>ROOT</em><em> </em><em>OF</em><em> </em><em>THE</em><em> </em><em>VOLUME</em><em> </em><em>TO</em><em> </em><em>FIND</em><em> </em><em>THE</em><em> </em><em>SIDE</em><em>.</em><em> </em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>!</em><em> </em>

<em>Have</em><em> </em><em>a</em><em> </em><em>great day</em><em>!</em><em> </em>

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The value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know that the diagonal of the rectangle bisect each other.

AE = CE

36 = 2x - 4

2x = 40

x = 20

Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

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Step-by-step explanation:

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pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

  = 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

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The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b  - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

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(a²b - 5)(4a²b - 1)

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