How much water does the cube displace?

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SUMMARY

A cube with an edge length of 10 feet displaces 1,000 cubic feet of water when submerged. This displacement occurs in a rectangular tank measuring 40 feet by 50 feet. The volume of the cube directly correlates to the rise in water level in the tank. To determine the exact rise in water level, one must calculate the cross-sectional area of the tank and apply the formula for volume displacement.

PREREQUISITES
  • Understanding of volume calculation for three-dimensional shapes
  • Familiarity with the concept of water displacement
  • Basic knowledge of geometry, specifically rectangular prisms
  • Ability to perform unit conversions if necessary
NEXT STEPS
  • Calculate the rise in water level using the formula: Rise = Volume Displaced / Cross-sectional Area of the Tank
  • Explore the principles of buoyancy and Archimedes' principle
  • Learn about the relationship between volume and surface area in geometric shapes
  • Investigate real-world applications of water displacement in engineering
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Students studying physics or mathematics, engineers involved in fluid dynamics, and anyone interested in understanding the principles of buoyancy and volume displacement.

STLFAMILY
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A cube with edge 10 ft is submerged in a rectangular tank containing water. If the tank is 40 ft by 50 ft, how much does the level of water in the tank rise?

We have figured the volume of the cube to be 1000 cubic feet - that is as far as we have gotten - help please!
 
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Welcome to PF!

Hi STLFAMILY! Welcome to PF! :wink:

Let's do in stages …

i] how much water does the cube displace? :smile:
 

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