1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sindrei [870]
3 years ago
14

The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is 1 meter deep at the shallow end and 8 m

eters deep at the other end. Find the volume of the water in the pool when it is full.

Mathematics
2 answers:
34kurt3 years ago
6 0

Answer:

V = 4500 m³

Step-by-step explanation:

The cross section of the swimming pool is a trapezium with parallel sides 1m and 8m (depth of both ends) and 50m (length of pool) as the perpendicular distance between the parallel sides.

The width of pool 1m can be the length of cross section.

Length of swimming pool = 50m

Breadth of the pool = 20m

Depth of the pool=1m and 8m

Let's assume it slopes uniformly, thus;

Volume of water when full;

V = ½[(1 + 8) × 50] × 20 = 25 × 9 × 20

V = 4500 m³

natta225 [31]3 years ago
3 0

Answer:

4500 m³

Step-by-step explanation:

The surface of a swimming pool is 50-meter long and 20-meter wide rectangle. The pool is 1 meter deep at the shallow end and 8 meters deep at the other end.

The pool can be divided into two sections, the first section (top) is a rectangular prism which sits on top of the bottom section.  The second section (bottom) is a triangular prism sits below the top section.

The rectangular prism has a length of 50 m, width of 20 m and a height of 1 m.

The volume of a rectangular prism = length × width × height = 50 × 20 × 1 = 1000 m³

The triangular prism has a base of 50 m, length of 20 m and a height of 8 m - 1 m = 7 m.

The volume of a triangular prism = 1/2 × base × length × height = 1/2 × 50 × 20 × 7 = 3500 m³

The volume of water in the pool =  volume of a rectangular prism + volume of a triangular prism = 1000 m³ + 3500 m³ = 4500 m³

You might be interested in
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At mi
Diano4ka-milaya [45]
Let y be the temperature
Let m be the rate of temperature drop in degrees per hour
Let x be the number of hours elapsed since 8PM
The initial temperature (at x = 0) is 0
y = mx
Four hours from 8 PM, the temperature was -16.8 degrees
-16.8 = m(4)
m = -4.2 degrees per hour
At 9PM, one hour will have elapsed.
y = -4.2(1)
y = -4.2 degrees
7 0
3 years ago
Q5. A bumper bag of icing sugar weighs 23.4 kg
VARVARA [1.3K]
Q5. 23
Q6. 2.4
Q7. 4.7
Q8. $19.20
Q9. 4.77
6 0
3 years ago
The following equation f(x) = x³ + 0.5x² + 4.5 has only 1 real root. It lies between the interval [-1,0].
melisa1 [442]
We are asked in this problem to find the real root of the polynomial f(x) = x3 + 0.5x2 + 4.5. in this case, to find the root of the equation, we equate the equation to zero. 
<span>f(x) = x³ + 0.5x² + 4.5 = 0 
        2x3 + x^2 + 9 = 0
</span><span>x1=−1.83557
</span>x2=0.66779+1.41619∗i
x3=0.66779−1.41619∗i

answer is -1.84
6 0
3 years ago
Read 2 more answers
What is the value of m in the equation 1/2 m - 3/4n=16 when n=8
zhuklara [117]
1/2m - 6= 16
1/2m=22
m= 44
6 0
3 years ago
Well buying organic is expensive because the product is much much harder to grow. No pesticides or fertilizer means there's a ve
kolezko [41]
That is true. It is much cheaper and economically safer for farms to not grow organic foods. I’m fact, sometimes it is even better for the environment for food to not be grown organically as it puts less stress on the farmland.
6 0
3 years ago
Other questions:
  • Convert 8 gal/h into pt/min
    7·1 answer
  • Y^3 +3y^2 -10y-24=0 is y=-2
    14·1 answer
  • PLEASE help me solve this problem
    5·2 answers
  • Jill made 20 muffin. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same a
    10·1 answer
  • What is the best definition for “sample” as used in statistics? *
    12·1 answer
  • What's 12/15 closest to 0,1/2 or 1
    9·1 answer
  • Each student will need 5 rubber bands. There are 8 students. Rubber bands come in bags of 9. How many bags will be needed. How m
    11·1 answer
  • Find the volume. Show work!!
    10·1 answer
  • Help with addition for child 324+423
    6·2 answers
  • Which measure of central tendency, the median or the mean, is more affected by the outlier? Why?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!