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Veronika [31]
2 years ago
10

A cube has a volume of 8 000 000 cm³.

Mathematics
1 answer:
Rus_ich [418]2 years ago
4 0

The length of it's side and surface area is 2 meters and 24 meters square respectively

<h3>How to determine the parameters</h3>

The formula for calculating the volume of a cube is given as;

Volume = a^3

Where a is the length of it's side

Now, let's substitute the volume into the formula, we have

8000000 = a^3

Let's find the cube root of both sides

cube root of 8000000 = 200

cube root of a^3 = a

Then, we have

a = 200cm

The length of it's side in meters

= 200/100

= 2 meters

Surface area = 6a^2

Surface area = 6 × 2^2

Surface area = 6 × 4

Surface area = 24m ^2

Thus, the length of it's side and surface area is 2 meters and 24 meters square respectively.

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

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Jeri has 2/3 yard of fabric to use for making some puppets she needs 1/6 yard for each puppet how many puppets can jeri make wit
AlekseyPX

Answer:4

Step-by-step explanation:

6 0
2 years ago
Can someone help me with this please?
AVprozaik [17]

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.

8 0
2 years ago
A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?
earnstyle [38]

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST PLEASE HELP
Alenkinab [10]

You can't find slope intercept form because it is perpendicular so the equation is x= -8

3 0
2 years ago
Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1
Alenkasestr [34]

Answer:

x=\frac{4*(2+e)}{e-2}

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

log(\frac{1}{x} )=-log(x)

log(x*y)=log(x)+log(y)

Therefore:

log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1

Now, cancel logarithms by taking exp of both sides:

e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e

Multiply both sides by (x-4)^{2} and using distributive propierty:

2x^{2} -32=16e-8ex+ex^{2}

Substract 16e-8ex+ex^{2} from both sides and factoring:

-(x-4)*(-8-4e-2x+ex)=0

Multiply both sides by -1:

(x-4)*(-8-4e-2x+ex)=0

Split into two equations:

x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0

Solving for x-4=0

Add 4 to both sides:

x=4

Solving for -8-4e-2x+ex=0

Collect in terms of x and add 4e+8 to both sides:

x(e-2)=4e+8

Divide both sides by e-2:

x=\frac{4*(2+e)}{e-2}

The solutions are:

x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}

If we evaluate x=4 in the original equation:

log(0)-log(0)=1

This is an absurd because log (x) is undefined for x\leq 0

If we evaluate x=\frac{4*(2+e)}{e-2} in the original equation:

log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1

Which is correct, therefore the solution is:

x=\frac{4*(2+e)}{e-2}

6 0
3 years ago
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