Calculus for Team-Based Inquiry Learning: PREVIEW Edition — Instructor Version

Consider a trapezoid-shaped dam that is 60 feet wide at its base and 90 feet wide at its top. Assume the dam is 20 feet tall with water that rises to its top. Water weighs 62.4 pounds per cubic foot and exerts $P=62.4d$ lbs/ft${}^2$ of pressure at depth $d$ ft. Consider a rectangular slice of this dam at height $h_i$ feet and width $b_i\text{.}$

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A slice at height $h_i$ of width $\mathrm{\Delta }h\text{,}$ with base $b_i$ of a damn with base 60 ft, top 90 ft, 20 ft tall.

Recall the computations done in Activity 6.7.2.