Ten triangular piles of piping on the pier are to be loaded - each pile has a 20 foot base, is 15 feet high and 30 feet long. If the breadth of the hold is 60 feet and the piping is to be stowed fore and aft in a 30 foot space, how high will it stow?
• Volume of a triangular prism-shaped pile (think: triangle base × length) • Total available deck/hold footprint for stowage (breadth × length of space) • How stacking affects height when total volume is conserved but base area changes
• First, compute the volume of ONE triangular pile from the given base, height, and length. Then multiply by the total number of piles to get total volume to be stowed. • Figure out the floor area in the hold where these piles will be stowed, using the given breadth and length of the stowage space. • If you keep the same total volume but change the footprint area, what must happen to the height? Use the relationship: Volume = area of base × height of stowage layer.
• Be sure you are using the correct formula for the area of a triangle (not a rectangle) when finding the cross-section of one pile. • Confirm the units are consistent (all in feet) before calculating volume and final height. • After you compute the stowage height, compare it to the choices and check whether the result is reasonable relative to the original 15 ft pile height.
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