Homework Help: maths

Posted by lissa on Friday, October 28, 2011 at 7:19am.

A swimming pool has two identical sides in the shape of a trapezium.
All other sides are rectangular.
The length of the pool is 12m.
The width of the pool is 4m.
The depth of the pool is 2.1m at the deep end and 1.1m at the shallow end.

Rafa fills the pool up with water from a hosepipe.
The surface of the water is to be 10cm from the top of the pool.

Rafa turns on the hosepipe at09 00 on Monday and water fills at a rate of 200ml per second.

When the pool is full, Rafa turns of the tap. At what time wil this be?
Show your working out.

maths - Reiny, Friday, October 28, 2011 at 9:20am
I visualize two trapezoids as the side walls and rectangles as the end walls.

Volume = area of side wall x width
= 12 ((1.1 + 2.1)/2) ( 4) = 76.8 m^3
= 76.8(1000) L
= 76800 L

200 ml/sec = .2 L/sec

so time taken = 76800/.2 seconds
= 384000 seconds
= 6400 minutes
= 106.6667 hours or 4.44444.. days
= 4 days, 10 hours , 40 minutes

I will let you compute the time he turns off the tap

Answer this Question

Related Questions

maths - a trapezium with its parallel sides in the ratio16:5,is cut from a ...
maths - a trapezium with its parallel sides in the ratio16:5,is cut from a ...
elem math - can some help me with my daughters homework. what figure is part of ...
maths - shapes - Can you name these quadrilaterals? a) All sides are the same ...
4th grade - Megan drew a shape with four sides. Two of the sides are parallel. ...
Math - The area of trapezium is 270cmsq. Nd its height is 6cm.if one of parallel...
math - Flor is putting a fence around a field. The field is rectangular and ...
Math - A rectangular field will be fenced on all four sides. Fencing for the ...
math - a certain company makes inflatable swimming pools that come in four ...
Math - The area of trapezium is 60cmsq. The two parllelogram sides are 16cm nd ...

For Further Reading

First Name:
School Subject:
Answer: