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ad-work [718]
3 years ago
5

If the surface area of a cube is 384, what is the length of one of the sides of the cube?

Mathematics
2 answers:
nikklg [1K]3 years ago
8 0

Answer:

8 units

Step-by-step explanation:

Area of 1 side = 384 ÷ 6 = 64 sq units

Length of 1 side = sq.rt. (64) = 8 units Answer

Setler79 [48]3 years ago
6 0

Answer:

S = 8

Each side of a face is 8 units.

Step-by-step explanation:

The surface area of the cube is 384 units.

One face of the cube has an area of s^2

A cube has 6 faces

6s^2 = 384                                 Divide by 6

s^2 = 384 / 6

s^2 = 64                                     Take the square root of both sides

sqrt(s^2) = sqrt(64)

s = 8

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Area 9 perimeter 20 what is the length and width
oksano4ka [1.4K]

Answer:4.5 x 2

Step-by-step explanation:

4.5 x 2 = 9

Hope it helps

8 0
3 years ago
Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
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nalin [4]

Answer:

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Step-by-step explanation:

y=6x-3

y=-3

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-3=6x-3

+3     +3

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3 0
3 years ago
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12x+7<−11 AND5x−8≥4012
Arte-miy333 [17]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Solve both inequality separately.

12x+7              Subtraction property of inequality

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12x

x

x

and

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Please find attachment for number line solution.

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8 0
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erma4kov [3.2K]

Answer:

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You can simplify it to (-4+24)^3a

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