A closed rectangular tank 180cm height, 300cm long and 200cm wide is made of metal sheet which cost #8.50 per square metre. Calculate the cost of metal sheet used in making the tank.
To calculate the cost of the metal sheet used in making the tank, we need to determine the total surface area of the tank and then multiply it by the cost per square meter.
Step 1: Find the surface area of each side of the tank:
- There are two sides with dimensions 180 cm (height) x 300 cm (length) = 54,000 square cm each.
- There are two sides with dimensions 180 cm (height) x 200 cm (width) = 36,000 square cm each.
- There is one side with dimensions 300 cm (length) x 200 cm (width) = 60,000 square cm.
Step 2: Find the total surface area of the tank by adding the surface areas of all sides:
54,000 + 54,000 + 36,000 + 36,000 + 60,000 = 240,000 square cm.
Step 3: Convert the surface area from square cm to square meters:
240,000 square cm / 10,000 = 24 square meters.
Step 4: Multiply the surface area by the cost per square meter:
24 square meters x #8.50/square meter = #204.
Therefore, the cost of the metal sheet used in making the tank is #204.
Change cm to m , that is divide by 100 , 180/100=1.8 m, 300/100=3 m , 200/ 100=2m . Formula : 2( l* b+b*h+h*l) , 2(3*2+2*1.8+3*1.8) =15. 2(15)=30. then multiply 30 by #8.50= #225.
To calculate the cost of the metal sheet used in making the tank, we need to determine the surface area of the tank first.
The tank has six faces:
1. Top face: This is a rectangle with dimensions 300 cm (length) and 200 cm (width). The area of the top face is calculated by multiplying the length and width: 300 cm * 200 cm = 60,000 square centimeters.
2. Bottom face: Similar to the top face, the bottom face also has the same dimensions of 300 cm (length) and 200 cm (width), resulting in an area of 60,000 square centimeters.
3. Front face: The front face is a rectangle with dimensions 180 cm (height) and 300 cm (length), giving an area of 54,000 square centimeters.
4. Back face: Like the front face, the back face also has dimensions of 180 cm (height) and 300 cm (length), yielding an area of 54,000 square centimeters.
5. Left side face: The left side face is a rectangle with dimensions 180 cm (height) and 200 cm (width), resulting in an area of 36,000 square centimeters.
6. Right side face: Similar to the left side face, the right side face has dimensions of 180 cm (height) and 200 cm (width), resulting in an area of 36,000 square centimeters.
To find the total surface area of the tank, we sum up the areas of all six faces:
60,000 + 60,000 + 54,000 + 54,000 + 36,000 + 36,000 = 300,000 square centimeters.
To convert the surface area to square meters, divide by 10,000:
300,000 / 10,000 = 30 square meters.
To calculate the cost of the metal sheet used in making the tank, multiply the surface area in square meters by the cost per square meter:
30 square meters * £8.50 per square meter = £255.
Therefore, the cost of the metal sheet used in making the tank is £255.
180cm height, 300cm long and 200cm
= 1.8 m by 3 m by 2 m
So the surface area = 2(1.8)(3) + 2(1.8)(2) + 2(3)(2) m^2
= ....
multiply this by $8.50 to get the cost