Question

A water tank is 5m long, 4m wide and 2m deep. Determine the cost of iron sheet required to make the tank at the rate of rs 60 per metre if the sheet is 2m wide.

Answer 1

Answer:

Step-by-step explanation:

Total surface are of tank = 2(lb + bh + hl )

= 2( 12*9+ 9*4 + 4*12)

= 2( 108+36+48) = 192*2

= 384 m^2

Length of sheet required = area/breadth

= 384/2= 192 m

Now cost of sheet = 192*5 = 960 rs

Answer 2

Cost of iron sheet required to make the tank is 2280 rupees.

• A water tank measurements are given as 5m long , 4m wide and 2m deep.
• That is the length of the tank is 5m , breadth is 4m and height is 2m.
• We have to determine the cost of making the tank with the given measurements.
• We have to find the total surface area of the tank in order to cover the full surface of the tank.
• Total surface area of the cuboid = 2(lb + bh + hl)

Total surface area of the tank = 2((5)(4) + (4)(2) + (2)(5))  = 2(20 + 8 + 10) = 76 sq m.

• The rate of sheet is 60 rupees per metre.
• Given that the breadth of the sheet is 2m.
• We now calculate the length of the sheet required to make the tank.

Area of the sheet required = total surface area of the tank

2 × length = 76

length = 38 m

• The length of the sheet required is 38 m.
• Now the cost of the sheet will be 38 × rate per metre

Total cost = 38 × 60

Total cost = 2280 rupees