anonymous
  • anonymous
Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Vocaloid
  • Vocaloid
first step: find the area of the base of pyramid A if the base of pyramid A is a square with sides 14, what is the area of the square?
anonymous
  • anonymous
yes
anonymous
  • anonymous
how can i find the area

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More answers

Vocaloid
  • Vocaloid
area = (side length)^2
anonymous
  • anonymous
sorry i really need to understand this
anonymous
  • anonymous
so it would be side times length squared?
Vocaloid
  • Vocaloid
the problem tells us that side length = 14 area = (side length)^2 find the area
anonymous
  • anonymous
ohhhh
anonymous
  • anonymous
okay
anonymous
  • anonymous
196
anonymous
  • anonymous
it would be 196
Vocaloid
  • Vocaloid
right, (but we're not done yet though) this tells us that base = 196 now, we need to find the volume of pyramid A volume = (1/3)(base)(height) = ?
anonymous
  • anonymous
that would be 392
Vocaloid
  • Vocaloid
right. now we need to find 100*(volume of pyramid B)/(volume of pyramid A)
anonymous
  • anonymous
so i need to multiply all those numbers right?
Vocaloid
  • Vocaloid
/ means divide
anonymous
  • anonymous
then it would be 122931200 :/
Vocaloid
  • Vocaloid
volume of pyramid B/volume of pyramid A = ?
anonymous
  • anonymous
ooops
anonymous
  • anonymous
didnt see that
anonymous
  • anonymous
ok wait
anonymous
  • anonymous
800
Vocaloid
  • Vocaloid
right, 800% that's our final answer
anonymous
  • anonymous
thank you so much. i finally get it
anonymous
  • anonymous
can you help me with some other questions?
Vocaloid
  • Vocaloid
sure
anonymous
  • anonymous
Use the chart below to answer the questions: Country Population (1997 estimate) Area (square km) U.S. 272,648,000 9,364,520 Romania 22,609,000 237,391 Ghana 18,339,000 237,533 Which of these countries has the greatest population density? Which has the least? Provide an explanation and proof for your answer to receive full credit.
Vocaloid
  • Vocaloid
we have three countries, (US, Romania, and Ghana) and the table tells us the population and area of each, right? population density = population/area so, we need three values: A: population of USA/area of USA B: population of Romania/area of Romania C: population of Ghana/area of Ghana can you calculate these three values, please?
anonymous
  • anonymous
yes
anonymous
  • anonymous
wait
anonymous
  • anonymous
US is 29.115
Vocaloid
  • Vocaloid
good, keep going with the other two
anonymous
  • anonymous
Romania is 95.239
Vocaloid
  • Vocaloid
good
anonymous
  • anonymous
Ghana is 77.206
Vocaloid
  • Vocaloid
right, so Romania has the largest population density and USA has the smallest
anonymous
  • anonymous
ahhh thats it?
Vocaloid
  • Vocaloid
yeah
anonymous
  • anonymous
thanks. do have time for one more question?
Vocaloid
  • Vocaloid
sure
anonymous
  • anonymous
The coordinates A(0, 0), B(0, 3), C(4, 3) and D(4, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.
anonymous
  • anonymous
you are the best thanks for helping me out
Vocaloid
  • Vocaloid
|dw:1437327503741:dw|
Vocaloid
  • Vocaloid
this gives us a rectangle when we draw out the 4 points, but when we rotate it around the y-axis like so, we get a cylinder|dw:1437327611870:dw|
Vocaloid
  • Vocaloid
|dw:1437327633016:dw| this is kinda hard to explain, but the final answer is a cylinder
anonymous
  • anonymous
okay so what formula did you use to rotate around the y axis?
Vocaloid
  • Vocaloid
haha, there isn't a formula for this one, you kinda have to use your imagination
anonymous
  • anonymous
:D
Vocaloid
  • Vocaloid
@mathstudent55 maybe you can explain? I'm really bad when it comes to explaining things like this > >
anonymous
  • anonymous
than how do i explain
mathstudent55
  • mathstudent55
@Vocaloid Excellent explanations on all three problems!
anonymous
  • anonymous
well im glad you helped me.
Vocaloid
  • Vocaloid
thank you, I'm just having a hard time explaining the whole rotating plane thing, how the rectangle becomes a cylinder
anonymous
  • anonymous
yes you are really good at explaining
mathstudent55
  • mathstudent55
When a point that is not on the y-axis is rotated about the y-axis, it creates a circle. As you rotate the rectangle about the y-axis, a cylinder with circular bases is created.
Vocaloid
  • Vocaloid
right, thank you, that's the sort of thing they're probably looking for
anonymous
  • anonymous
thank you so much mathstudent55 and Vocaloid
anonymous
  • anonymous
i appreciate your time and good explanation :)
mathstudent55
  • mathstudent55
You're welcome, but @Vocaloid is the one who deserves the thanks in this post.
anonymous
  • anonymous
how do i give you a medal mathstudent55?
mathstudent55
  • mathstudent55
You can only give one medal per post. If you already gave one to Vocaloid, then you can't give me one.
anonymous
  • anonymous
ohh sorry.

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