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3 years ago

How do you find a side length of a cube with the surface area of one face (64cm)

1 answer:

7 0

Fact #1:
A cube has six faces.

Fact #2:
Every one of them has the same area.

Fact #3:
The surface area of each face is (the length of the cube's side)²

Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3. (But you can keep the others and save them for later.)

The surface area of each face is (the length of the cube's side)²

64 is the (length of the cube's side)²

Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.

Hint: If you don't get ' 8 ', work on it a little more.

You might be interested in

Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?

Elina [12.6K]

Answer:

The length of segment AC is two times the length of segment A'C'

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

A'C' ----> the length of segment A'C'

AC ----> the length of segment AC

$z=\frac{A'C'}{AC}$

we have that

$z=50\%=50/100=\frac{1}{2}$ ---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero

substitute

$\frac{1}{2}=\frac{A'C'}{AC}$

$AC=2A'C'$

therefore

The length of segment AC is two times the length of segment A'C'

5 0

3 years ago

Read 2 more answers

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second

solniwko [45]

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Uniformly distributed between 38 seconds and 79 seconds.

This means that $a = 38, b = 79$

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

$c = 58, d = 70$

$P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927$

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

4 0

3 years ago

Allen found 28 pieces of gold Diana found 1880558 pieces of gold how many pieces of gold did they have total

horsena [70]

Well, you need to add 28 to 1880558 which equals 1,880,586.

4 0

3 years ago

Read 2 more answers

A survey of 90 men found that an average amount spent on St. Patrick's day of $55 with a standard deviation of $18. A similar su

dem82 [27]

Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

H₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

Hₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

The population standard deviations are not known.

So a t-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }$

Given:

$\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86$

Compute the value of the test statistic as follows:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70$

Thus, the value of the test statistic is 4.70.

7 0

3 years ago

Solve for m GHI if m GHJ = 59° and m JHI = 39º.

Setler79 [48]

Answer:

m GHI = 82°

Step-by-step explanation:

59+39=98

180-98=82 <==== answer

180 is the total amount of degree

7 0

3 years ago