What is the displacement of a barge which...

What is the displacement of a barge which...

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Question 1 of 2066636eec28f7522a1c51c1d5

What is the displacement of a barge which measures 85' x 46' x 13' and is floating in salt water with a draft of ten feet?

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Question 1 of 20

66636eec28f7522a1c51c1d5

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What is the displacement of a barge which measures 85' x 46' x 13' and is floating in salt water with a draft of ten feet?

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🔍 Key Concepts

• Use the basic volume formula for a rectangular barge: length × beam × draft • Convert the barge’s underwater volume from cubic feet to tons using salt water weight (about 64 lb/ft³) • Remember: 1 long ton = 2240 lb, and displacement is the actual weight of water displaced

💭 Think About

• First, calculate the underwater volume using only the part of the barge that is submerged. Which dimension represents that? • After finding the volume in cubic feet, how do you turn that into pounds of seawater, and then into long tons? • Once you have your tonnage, which choice is closest to your calculated value?

✅ Before You Answer

• Be sure you used draft (10 ft), not total depth (13 ft), when finding underwater volume • Confirm you used 64 lb/ft³ for salt water, not 62.4 lb/ft³ (fresh water) • Check that you divided by 2240 lb/ton at the end, not 2000 lb (short ton)

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