A swimming pool is 8 m long, 6 m wide and 1.5 m deep. The water resistant paint needed for the pool costs $6 per square meter. a) How much will it cost to paint the interior surfaces of the pool? b) How many liters of water will be needed to fill it?
Answers
Answer:
a)Total cost = $540
b) total liters of water needed = 72,000 liters
Step-by-step explanation:
It is given that,
A swimming pool is 8 m long, 6 m wide and 1.5 m deep.
To find the Interior surface area of pool
Let 'l, be the length, 'b' be the breadth and 'h' be the height
Surface area = lb + 2h(l + b)
Here, l = 8m, b = 6m and h = 1.5
Surface area = lb + 2h(l + b) = 8*6 + 2*1.5(8 + 6)
Surface area = 48 + 3*14 = 48 + 42 = 90 m²
a). To find the cost for painting
cost of painting 1 square meter = $6
Total cost = total area * cost per square meter
Total cost = 90*6 = $540
To find the volume of pool
Volume of pool = lbh
volume = lbh = 8*6*1.5 = 72 m³
b). To find liters of water will be needed to fill it
1000 liters of water will be needed to fill 1m³
Therefore total liters of water needed = 1000*72 = 72,000 liters
Answer:
a)Total cost = $540
b) total liters of water needed = 72,000 liters
Step-by-step explanation:
It is given that,
A swimming pool is 8 m long, 6 m wide and 1.5 m deep.
To find the Interior surface area of pool
Let 'l, be the length, 'b' be the breadth and 'h' be the height
Surface area = lb + 2h(l + b)
Here, l = 8m, b = 6m and h = 1.5
Surface area = lb + 2h(l + b) = 8*6 + 2*1.5(8 + 6)
Surface area = 48 + 3*14 = 48 + 42 = 90 m²
a). To find the cost for painting
cost of painting 1 square meter = $6
Total cost = total area * cost per square meter
Total cost = 90*6 = $540
To find the volume of pool
Volume of pool = lbh
volume = lbh = 8*6*1.5 = 72 m³
b). To find liters of water will be needed to fill it
1000 liters of water will be needed to fill 1m³
Therefore total liters of water needed = 1000*72 = 72,000 liters