the volume of a triangular prism is increased by a factor of 8. By what factor is the surface area increased?

1 answer:

8 0

Answer:
4
Step-by-step explanation:
when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).
∴ when volume scale factor = 8
the length scale factor = ∛8 = 2
while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).
∴ when the length scale factor = 2
the surface area scale factor = 2² = 4

You might be interested in

I NEED HELP SOMEONE PLEASE

slavikrds [6]

Answer: 45

Step-by-step explanation: 21 x 3 = 63, because 3x3 is 9. 9 tickets with a $2 discount would mean you take off $18, so I believe the answer would be 63-18=45.

5 0

4 years ago

If g(x) = 4 square root of x then g(45) is

AlladinOne [14]

Hi,

So we have g(x) = 4√(x). We're looking for g(45). Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.

Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).

-Hope this helps!

5 0

3 years ago

According to a study, 68% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a d

Marat540 [252]

Answer:

a) P(X≥143)=0

b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).

Step-by-step explanation:

If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):

$\mu=np=0.68*206=140.1\\\\ \sigma=\sqrt{np(1-p)}=\sqrt{206*0.68*0.32}=\sqrt{44.8256}=6.7$

Then, we can calculate the probability of X being equal or more than 143 using the z-score:

$z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{143-140.1}{6.7/\sqrt{206}}=\dfrac{2.9}{0.4668}=6.2124\\\\\\P(x\geq143)=P(z>6.2124)=0$

This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).

6 0

3 years ago

How to convert 11 to base 10

blondinia [14]

The given number which is 2A193A411 is written in Base 11. Base 11 number is also called undecimal system. The digits of Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Since 10 is not accepted as a digit, then we have to substitute a variable which is A = 10. Hence, the digits of a Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A.

3 0

3 years ago

If one gallon of paint covers 825 sq. ft., how much paint is needed to cover 2640 sq. ft.

Ray Of Light [21]

3.2 gallons of paint is needed since 2640 divided by 825 = 3.2

6 0

4 years ago

Read 2 more answers