Question

Anybody?

Answer 1

just a question, does anybody know experimental and theoretical probability?

Answer 2

I can't really help you with the probability stuff, but I can help with this question.

Answer 3

ok thats fine, i was just asking

Answer 4

The first part of the problem is basically asking you for the surface area of the walls of the pool. Notice the pool will have 5 sides that need painting. The bottom, and the 4 vertical sides. Can you tell me the area of the bottom of the pool?

Answer 5

512 ft

Answer 6

Right. So now we have the 4 sides. Can you tell me the area of those?

Answer 7

so 512 was the area of one side

Answer 8

512 was the area of the bottom. Now we need the area of the 4 vertical sides of the pool.

Answer 9

80 ft

Answer 10

That will be the area of two of the four remaining sides. But we also will have two sides that have length 32, and height 5. These have area 160.

Answer 11

is this part a

Answer 12

This is part a. Have you already done it?

Answer 13

no since you said surface area before i was just unsure what part you were doing

Answer 14

I said surface area because the sides of the pool are a surface, and thus have an area.

But finally, all we need to do to finish part a, is to add all of the areas up, and figure out how many gallons of paint we need. The will be\[512+2*80+2*160=992\; ft^2.\]How many gallons will we need to paint this much?

Answer 15

6.6 gallons

Answer 16

Right. The very last thing we need to do then, is round up since we can only buy whole gallons of paint. So the answer for the first part will be 7 gallons.

Answer 17

ok

Answer 18

As for the second part of the problem, this just requires you to find the volume of the pool. Can you tell me what the volume is?

Answer 19

52.5

Answer 20

That's not quite right. To find the volume, we need to multiply all the dimensions together. So it will be\[32*16*5=2560\;ft^3\]

Answer 21

oh all the dimensions, ok

Answer 22

Right. Now we want to convert this volume into gallons. Since there are approximately 7.5 gallons per cubic ft., we need to multiply by 7.5. This gives us\[2560\;ft^3\cdot7.5\;gal/ft^3=19200\;gal\]So she'll need a whopping 19200 gallons of water to fill the pool.

Answer 23

okay

Answer 24

Now we only have the last part left. In this part, all she wants to do, is put a cover on the pool. So what would the surface area be of the top of the pool?

Answer 25

we are getting are numebrs from 32, 16, and 5 right? thats where im confused

Answer 26

Right. Now just pretend that instead of a pool, it was just a box with those dimensions. All that the third part is asking, is what the area of the top of the box is.

Answer 27

2,560

Answer 28

That's the volume again. The surface area of the top of the box will be the product of the width and the length. In this case, that's\[32*16=512\;ft.\]

Answer 29

but wouldnt you include the depth?

Answer 30

Not for the area of the top part. You only need to include the depth when looking at the volume, or the 4 vertical sides.

Answer 31

ok so its like a rectangle by just doing length times width

Answer 32

Exactly.

Answer 33

ok, well thanks so much for your help.

Answer 34

You're welcome.