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Calculate which container has the largest volume. Give the volume to the nearest litre.
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3 partsStep-by-step solution
10 stepsHere are the calculations for the containers:
Part 6.1· 6 steps
Calculate which container has the largest volume. Give the volume to the nearest litre.
Convert all dimensions to meters for consistency.
For the rectangular container:
Length () =
Width () =
Height () =For the cylindrical container:
Diameter () =
Radius () =
Height () =Calculate the volume of the rectangular container.
Convert the volume of the rectangular container to litres.
Given , and .
Therefore, .Calculate the volume of the cylindrical container.
Using :
Convert the volume of the cylindrical container to litres and round to the nearest litre.
Compare the volumes.
.
The cylindrical container has the largest volume.The container with the largest volume is the cylindrical container, with a volume of .
Part 6.2
Calculate the surface area of each container.
Calculate the surface area of the rectangular container.
Calculate the surface area of the cylindrical container.
Using :
The surface area of the rectangular container is .
The surface area of the cylindrical container is (rounded to two decimal places).
Part 6.3
Metal sheets, 2 m wide, are used to manufacture these containers. Calculate the length of sheeting required to make each container.
Calculate the length of sheeting for the rectangular container.
Length of sheeting = Total Surface Area / Width of sheet
Calculate the length of sheeting for the cylindrical container.
The length of sheeting required for the rectangular container is .
The length of sheeting required for the cylindrical container is (rounded to two decimal places).
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