Math Problem Statement
A block of wood, 10cm by 20 cm by 4 cm thick is floated on a pool of water, submerging it to a depth of 1 cm. A 50 gram mass is placed on top of the block, increasing the depth submerged to 1.25. Another 50 gram mass is placed on top, increasing the depth to 1.5.
What would the mass of the block of wood be?
Solution
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Math Problem Analysis
Mathematical Concepts
Buoyancy
Volume
Density
Archimedes' Principle
Formulas
Buoyant Force = Volume of Water Displaced * Density of Water
Volume of Water Displaced = Length * Width * Submerged Depth
Theorems
Archimedes' Principle
Suitable Grade Level
Grades 8-10
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