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
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length , l = 12 m
breadth , b = 9 m
height , h = 4 m
As it is open ,at the top , there will be only 5 surfaces which will be required to be covered with iron sheet.
∴ Area of the open tank = L.S.A + 1 base area.
= 2 (l+b)×h + lb
= 2 × ( 12 + 9) × 4 + 12 × 9
= 276 m²
Area of iron sheet required = l b = 276 m
breadth , b of the iron sheet = 1.5 m
∴ length of the iron sheet = 276 ÷ 2
= 138 m²
Cost of iron sheet for 1 m ² = Rs 15
Cost of iron sheet required for 138 m ² = 138 × 15
= Rs 2070
breadth , b = 9 m
height , h = 4 m
As it is open ,at the top , there will be only 5 surfaces which will be required to be covered with iron sheet.
∴ Area of the open tank = L.S.A + 1 base area.
= 2 (l+b)×h + lb
= 2 × ( 12 + 9) × 4 + 12 × 9
= 276 m²
Area of iron sheet required = l b = 276 m
breadth , b of the iron sheet = 1.5 m
∴ length of the iron sheet = 276 ÷ 2
= 138 m²
Cost of iron sheet for 1 m ² = Rs 15
Cost of iron sheet required for 138 m ² = 138 × 15
= Rs 2070
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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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