Question

An open water tank 12 m long 9 m wide and 4 m deep is to be made.Determine the cost of iron sheet required at the rate of Rs.25 per m,if the sheet is 1.5m wide

Answer 1

Length of water tank= 12m
Width of water tank= 9 m
Depth of water tank = 4 m
(i) The area of sheet required to make the water tank is equal to the surface area of the water tank excluding the top.
Surface area of the water tank = Lateral surface area + Area of the base
                                      = 2(l+b)×h + (l×b)
                                      = 2[(12 + 9)×4] + (12× 4) m2 
                                     =  264m2 
The sheet required required to make the water tank is 264 m2 
(ii) Cost of 1 m2 of sheet = Rs 25
∴ Cost of  264m2 of sheet = Rs (25 × 264) = Rs 6600

Answer 2

Answer:

Step-by-step explanation:

ANSWER:

Cost of iron sheet required to make open tank is ₹4600.

EXPLANATION:

L=12m ; W=9m ; D=4m

w=1.5m ; r=25 ₹/m ; Length of sheet required=s

Total sheet required to make open tank

A=LSA of cuboid+Area of Bottom of tank

A = [2D(L+W)] + [L×W]

= [2×4(12+9)] + [12×9]

= (8×21) + 108

= 168 + 108

= 276m²

We know that Area=Length * width

Area of sheet = s * w

276 = s × 1.5

∴ s = 276 / 1.5 = 184m

Length of sheet required = 184m

Cost of sheet = Length of sheet × rate

= s × r = 184 × 25 = ₹4600

NOTE:

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