Discover the Water Depth in a DIY Trough for Beginners in Physics

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SUMMARY

The discussion revolves around calculating the water depth in a DIY trough designed as an isosceles right triangle. The trough is constructed from two 11 ft boards, and it holds 15 gallons of water. Given that 231 cubic inches equals 1 gallon, the water depth can be determined using the volume of water and the geometric properties of the triangle. The calculation requires understanding the relationship between the volume of water and the dimensions of the triangular cross-section.

PREREQUISITES
  • Basic geometry concepts, specifically properties of isosceles right triangles.
  • Understanding of volume calculations, particularly for triangular prisms.
  • Familiarity with unit conversions, especially between gallons and cubic inches.
  • Basic algebra skills to solve for unknown variables in equations.
NEXT STEPS
  • Research the formula for the volume of a triangular prism.
  • Learn about unit conversion techniques between gallons and cubic inches.
  • Explore geometric properties of isosceles right triangles.
  • Practice solving similar problems involving volume and depth calculations.
USEFUL FOR

This discussion is beneficial for beginners in physics, students tackling geometry problems, and DIY enthusiasts interested in practical applications of mathematical concepts.

JudasIscariot
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Beginner in Physics... Please Help!

A trough is formed by nailing together edge to edge, two boards 11 ft. in length, so that the right section is a right triangle. If 15 gal of water are poured into the trough and if the trough is held level so that a right section of the water is an isosceles right triangle, how deep is the water?! (231 cu in. = 1 gal)

:rolleyes: :rolleyes:
 
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You should probably post this in the homework help forum, and also show us what you've done so far. (Read the sticky post at the top of that forum).
 

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