A cube shaped box has a volume of 27 cubic cm. what's the length of the box? how would you figure this out

2 answers:

4 0

$Volume \ of\ cube\ shaped\ box\\\\
V=a^3\\a-\ length\ of\ side\\\\
27=a^3\ \ \ | \sqrt[3]{}\\\\
a=3\\\\Length\ of\ box\ is\ equal\ to\ 3\ cm.$

zvonat [6]3 years ago

3 0

Recall the formula for volume of a cube; Length * Height * Width = Volume. Well in a cube, all sides are the same value. So L = H = W. So any variable can be used as all three measurements. So x * x * x = 27 cubic cm. We can simplify this into x^3 =27. Cube-root each side to end up with x = 3 cm. Length, Height and Width are all 3 cm.

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Question

Juliette [100K]

Given:

The compound inequality is

$9$

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

$9$

Subtracting 6 from each side, we get

$9-6$

$3$

Divide each side by 3.

$\dfrac{3}{3}$

$1$

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

8 0

3 years ago

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate

KIM [24]

a + b ≥ 30, b ≥ a + 10, the system of inequalities could represent the values of a and b

option A

<u>Step-by-step explanation:</u>

Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:

Let two numbers be a and b where b>a . Now ,