a closed rectangular tank 180cm height, 300cm long and 200cm wide is made of metal sheet which costs 850 naira per square meter. calculate the cost of metal sheet used in making the tank
lets see: sides
2 of these: 180x300
2 of these: 180x200
2 of these: 200x300
add them up, divide by total cost.
To calculate the cost of the metal sheet used to make the tank, we first need to determine the surface area of the tank.
The surface area of a rectangular tank can be calculated by finding the sum of the areas of each of its six faces.
The formula to find the surface area of a rectangular tank is:
Surface Area = 2lw + 2lh + 2wh
Given that the length (l) of the tank is 300 cm, the width (w) is 200 cm, and the height (h) is 180 cm, we can substitute these values into the formula:
Surface Area = 2(300)(200) + 2(300)(180) + 2(200)(180)
Simplifying the equation:
Surface Area = 120,000 + 108,000 + 72,000
Surface Area = 300,000 cm²
Now, we need to convert the surface area from cm² to square meters. Since there are 10,000 square centimeters in a square meter, we divide the surface area by 10,000:
Surface Area in square meters = 300,000 cm² / 10,000
Surface Area in square meters = 30 square meters
Finally, to calculate the cost of the metal sheet used to make the tank, we multiply the surface area (30 square meters) by the cost of the metal sheet per square meter (₦850):
Cost of the metal sheet = Surface Area × Cost per square meter
Cost of the metal sheet = 30 square meters × ₦850/square meter
Cost of the metal sheet = ₦25,500
Therefore, the cost of the metal sheet used in making the tank is ₦25,500.