# math

posted by Lindsay

A rectangular pool's depth is 1m at the shallow end and gradually increases to 4m at the deep end. The pool is 32m in length and 12m width.

1. calculate the total surface area (m squared) of the pool.
2. The cost of painting the pool at \$5 per square foot.
3. the amount of water(litres) required to fill the pool.

1. Reiny

SA is the rectangular base + 2ends + 2trapezpoids
for the length of the slanted base we need to use Pythagoras

H^2 = 32^2 + 3^2
h = √1033

area of base = 12√1033
area of each trapezoid
= 32(1+4)/2 = 80
short end = 12
deep end = 48

Total surface area = 12√1033 + 2(80) + 12 + 48
= 605.684 m^2

b) I will assume you meant \$5 per square metre
cost = 5(above surface area)

c) I will consider one of the traps as the base
Volume = 80(12) = 960 m^3
= 960 000 litres

## Similar Questions

1. ### Physics

Measured along the surface of the water, a rectangular swimming pool has a length of 15.9 m. Along this length, the flat bottom of the pool slopes downward at an angle of 16.9 ° below the horizontal, from one end to the other. By …
2. ### maths

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 …
3. ### Math (Area)

I need help on where to begin with this problem. You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. What is the area of …
4. ### MATH - area question

I need help on where to begin with this problem. You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. What is the area of …
5. ### 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 …
6. ### 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?
7. ### Calculus

A rectangular swimming pool is 8 m wide and 20 m long. Its bottom is a sloping plane, the depth increasing from 1 m at the shallow end to 3 m at the deep end. Water is draining out of the pool at a rate of 1 m3/min. How fast is the …
8. ### Maths

A swimming pool whos surface forms a rectangle measures 25 m long by 15 m wide The pool is 2 m deep at the shallow end and the depth increases at a constant rate to 4 m deep at the other end How many?
9. ### math

a swimming pool is 40m long and 12m wide with a shallow end and a deep end.The shallow end is 1.3m deep and 10m wide while the deep end is 3m deep and 10m wide. The center tappers gently from the shallow end to the deep end. The pool …
10. ### Math

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 …

More Similar Questions