Chapter 9, Problem 9.32AC

The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.

A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?

Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.

A slot is machined in a circular plate with a 41.36-millimeter diameter. Two milling cuts, one 6.30 millimeters deep and the other 3.15 millimeters, are made. A grinding operation then removes 0.40 millimeter. What is the distance from the center of the plate to the bottom of the slot? All dimensions are in millimeters.

Sanford, a company that produces pencils, needs to know how much yellow paint to order for their next batch of pencils. To do this, they must know the lateral surface area of an unsharpened pencil, because that is the part that will be painted. An unsharpened pencil is in the shape of a hexagonal prism, in which the face edge is 5 millimeters and the length is 165 millimeters. What is the lateral area of the pencil in square millimeters? 165 mm 5 mm

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

20 cm Pip is building model car racing tracks using a large supply of the two types of square plate shown. Ignoring the tabs and slots where plates are snapped together, both types measure 20 cm x 20 cm. In the first type, the track is a straight line joining the middles of opposite sides. In the second, the track is a quarter circle joining the middles of adjacent sides. Plates can be snapped together in any orientation, as long as the track is continuous. II 20 cm 20 cm Pip wants to complete the track shown below but, because there is lim- ited space, additional plates can only be put in the 4 x 4 grid indicated by dotted lines. 2 (Rejected (Rejec

An aquarium manager drew a blueprint for a cylindrical fish tank. The tank has a vertical tube in the middle in which visitors can stand and view the fish. The best average density for the species of fish that will go in the tank is 16 fish per 100 gallons of water. This provides enough room for the fish to swim while making sure that there are plenty of fish for people to see. Question: The aquarium has 275 fish available to put in the tank. Is this the right number of fish for the tank? If not, how many fish should be added or removed? Explain your reasoning or show your work. Things to help you: Volume of a cylinder = 1 cubic foot = 7.48 gallons