Math
posted by asuadg31 .
The top of a swimming pool is in the shape of a rectangle measuring 44 feet by 24 feet. Two of the sides of the pool are trapezoids. The water is 9 feet deep in the deep end and 3 feet deep in the shallow end.
Find the volume of the water in the pool. (Show your work.)
I really need help, the trapezoid part is confusing me. I know how to find the volume of a rectangular pool but I'm not sure about this one.

Math 
Reiny
Draw a sideview of the pool to see the trapezoid, the two vertical ends are your parallel sides.
draw a horizontal from the short vertical to meet the longer vertical. You now have a rectangle and a rightangled triangle.
The rectangle is 44 by 3 and the triangle is 44 by 6
Find the area of each, add them up and multiply by the width of 24 . 
Math 
asuadg31
Sorry, but why would I need to draw a sideview of the pool? Wouldn't I just need the aboveview?

Math 
asuadg31
Oh wait, I understand what you mean now. Thank you!

Math 
asuadg31
Okay that really didn't help me much because I don't know what the pool is supposed to look like.

Math 
Reiny
The top view is a rectangle
It is the side view that illustrates the shape of the pool, it will be the trapezoid.
Do you know what a trapezoid looks like ? 
Math 
asuadg31
Yes

Math 
asuadg31
Reiny, if I really cared about school policies, I would not be on this website. I'm not asking you for the straight up answer, but I need to know the steps to take so I can find the answer.

Math 
Reiny
I really don't understand what part of my analysis you don't get.
Volume is (base area) x (width)
So if you consider the sideview as the base, you have
rectangle = 44(3) = 132 ft^2
triangle = (1/2)(44)(6) = 132 ft^2
total area of sideview = 264 ft^2
volume = that total x 24 ft^3 
Math 
asuadg31
44*3=132 ft^2
(44*6)*0.5=132 ft^2
132+132=264 ft^2
264*24=6,336 ft^3
v=6,336 ft^3
This apology is going to sound really stupid coming from someone who just took an hour out of your day to answer a simple enough question (multiple times), but I couldn't visualize what you were telling me with the dimensions given. I know that isn't in any way your fault because you practically gave me the answer in three different ways, and it's not like you could post a picture on here to show me.
Thank you for your descriptions, and for your time. I'm sorry it took as long as it did, and that I got mad.
Respond to this Question
Similar Questions

Precalculus
A swimming pool is 3 feet deep in the shallow end. The bottom of the pool has a steady downward drop of 12 degrees toward the deep end. If the pool is 50 feet long, how deep is the deep end. So I said that first you would subtract … 
math
a certain company makes inflatable swimming pools that come in four rectangular sizes.the length of each pool is twice the width and twice the depth.the pools are 1 foot ,2 feet,3 feet and 4 feet deep.what is the area of the surface … 
Calculus
A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end; the bottom is rectangular. If the pool is filled by pumping water into it at the rate of 40 cubic feet per minute, how … 
Math
A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end; the bottom is rectangular. If the pool is filled by pumping water into it at the rate of 40 cubic feet per minute, how … 
math
The portion of a swimming pool that is below the full water line measures 12 feet by 30 feet by 6 feet deep. what is the volume of the water in the swimming pool when it is fully, expressed in cubic yards? 
Math
The portion of a swimming pool that is below the full water line measures 12 feet by 30 feet by 6 feet deep. What is the volume of water in the swimming pool when it is full, expressed in cubic yards? 
geometry
A swimming pool is 3 ft deep in the shallow end the bottom of the pool has a steady downward drop of 12 degrees if the pool is 50 feet long how deep is the deepest end? 
geometry
a a swimming pool having the shape of a rectangular solid has a length of 100 feet, a width of 32 feet,a depth of 8 feet. if the pool is 3/4 full with water,how many cubic feet of water are in the pool 
Math
A swimming pool is 75 feet long, 45 feet wide, and 8 feet deep. It is filled to a depth of 5 feet. What is the volume of the pool? 
math
A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool in cubic feet?