The elephants need a new water trough. The zookeeper is looking at several designs that have different measurements. He needs to know if it will hold the amount of water that the elephants will need for the day. The measurements are as follows: For the side (the trapezoid base) x = 3 ft, y = 5.7 ft, w =6.2 ft and the length (height of prism) of the trough is z = 8.9 ft. Find the volume of the trough. Round the FINAL answer to the nearest cubic foot (whole number no decimals). Use the Desmos Calculator.

A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can is to be equal to a given value of V cubic units. Find the ratio of the height of the can to its radius to minimize its surface area.

n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft