An open rectangular cistern when measured from outside is 1. 35m long 1. 08 broad and 90 cm deep it is made up of iron which is 2. 5 cm thick find the capacity of the cistern nd the volume of the iron used
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Find the volume of the whole cistern based on external measurement:
Volume = Length x Breadth x Height
Volume = 135 x 108 x 90 = 1,312,200 cm³
Find the internal dimension:
Length = 135 - 2.5 - 2.5 = 130 cm
Breadth = 108 - 2.5 - 2.5 = 103 cm
Height = 90 - 2.5 = 87.5 cm
Find the internal volume:
Volume = Length x Breadth x Height
Volume = 130 x 103 x 87.5 = 1,171,625 cm³
Find the volume of the iron used:
Iron used = 1,312,200 - 1,171,625 = 140, 575 cm³
If you need the answer in m³:
140, 575 cm³ = 140, 575 ÷ 100³ = 0.14m³ (nearest hundredth)
Answer: The volume of the capacity is 140, 575 cm³
Volume = Length x Breadth x Height
Volume = 135 x 108 x 90 = 1,312,200 cm³
Find the internal dimension:
Length = 135 - 2.5 - 2.5 = 130 cm
Breadth = 108 - 2.5 - 2.5 = 103 cm
Height = 90 - 2.5 = 87.5 cm
Find the internal volume:
Volume = Length x Breadth x Height
Volume = 130 x 103 x 87.5 = 1,171,625 cm³
Find the volume of the iron used:
Iron used = 1,312,200 - 1,171,625 = 140, 575 cm³
If you need the answer in m³:
140, 575 cm³ = 140, 575 ÷ 100³ = 0.14m³ (nearest hundredth)
Answer: The volume of the capacity is 140, 575 cm³
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