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She is still telling me I am doing all of this wrong, any suggestions to go about this differently? I have attached the whole problem this is the last response I got from her: H does not equal 2.5 divided by tan(67.5)?
Find the surface area and volume of the pool shown below when the sides, the twelve "bumpers" making up the perimeter of the pool, are 5 ft each and the depth of the pool is 6 ft.
Use your logic and the formulas you have learned so far for the area of polygons, surface area, and volume to calculate the surface area of the inside of the pool in the picture (the pool liner) and the volume of the pool if it was filled all the way to the top. Use the shape of the pool and include formulas that you have learned in class. (You cannot add or take out water to find the volume.)
- This 12 sided pool is not a regular polygon because the inner angles are not all equal. You will need to break the base of the pool down into 2 regular polygons.
- Show your work step-by-step just as you have done for #1-4 above. You may need to include some written explanations for what you are doing in each step. Show all of the work to find all of the areas necessary for the surface area and all of the work to find the volume.
Below is what I submitted, where did I mess up in solving?
Area of rectangle (Be sure to state what the shape is.)
A = wl The distance across the pool is incorrect. You will need to do work with the octagon to calculate the distance across the pool. I'm not sure which value is the distance along the edge of the pool, so I'm not sure if you are correct on that measure.
Area of octagon (Be sure to state what the shape is.)
360/8=45
2*side+45=180
2*side=135
Side=67.5
Tan(67.5)=H/(5/2)
Tan(67.5)=H/2.5
You have not correctly solved this equation for H.
Area of _______ (Be sure to state what the shape is.)
Show every step of your work for just this shape.
Area of _______ (Be sure to state what the shape is.)
Show every step of your work for just this shape.
Other area needed for surface area
Show how you calculate the part of the surface area not included already.
Surface area calculation
Show how you use the answer above. (You will not find separate surface areas for each shape. Use the three answers above in your work.)
Volume calculation
Show how you use the answers above. What is the general formula for the area of any prism?
My teacher wants me to answer by filling this in how would I do that?
Ok thank you I submitted it hopefully its correct.
The middle is a square, then there are 4 additional side on each end. For a total of 12 sides/bumpers, they are 5 feet each with 6' depth
https://1drv.ms/u/s!AodFpEAO3TPygyDFygEImSjzH60k
I am stuck on solving the below problem. I have been working on for a month now and can not seem to get it.
Find the surface area and volume of the pool shown below when the sides, the twelve "bumpers" making up the perimeter of the pool, are 5 ft each and the depth of the pool is 6 ft.
This is what I had:
360/5=72
2*side angle+central angle=180
2*side angle+72=180
2*side angle=108
Side angle=54
Tan(54)=H/(5/2)
H*Tan(54)=(5/2)
H=Tan(54)/(5/2)
H=5.52
A=1/2*2.5*5.52
A=6.9
6.9*2=13.8
13.8*5=69ft
This is what they came back with:
Area of _______ (Be sure to state what the shape is.)
Show every step of your work for just this shape.
Area of _______ (Be sure to state what the shape is.)
Show every step of your work for just this shape.
Other area needed for surface area
What other area of the pool would you need to calculate other than the bottom of the pool to get all of the surfaces?
Surface area calculation
Show how you use the answer above. (You will not find separate surface areas for each shape. Use the three answers above in your work.)
Volume calculation
Show how you use the answers above. What is the general formula for the area of any prism?
I am totally lost and have been on this particular problem for a month and getting no where and frustrated.
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