6. Given the dimensions shown in the drawing below, use the Pythagorean theorem to calculate the travel of the diagonal pipe required to join the two horizontal pipes. Show all your work in a neat, orderly fashion and indicate the unit(s) of measurement. 16″ 16″ 7. Given the dimensions shown in the drawing below, use the sine function to calculate the travel of the diagonal pipe required to join the two horizontal pipes. Show all your work in a neat, orderly fashion and indicate the units of measurement. 24″ 24″ 8. Given the dimensions shown in the drawing below, use the constant for 45° to calculate the travel of the diagonal pipe required to join the two horizontal pipes. Show all your work in a neat, orderly fashion and indicate the units of measurement. 8″ 8″ 9. Compute the volume of a rectangular tank that measures 8′ long by 4′ wide by 10′ tall. 10. How many gallons of water will the above tank hold if it is filled to a depth of 6′? 11. What is the capacity, in gallons, of a cylin- drical tank that is 8′ in diameter at the base and stands 20′ tall? 12. If the sewer line shown in Figure 4-25 is laid using 10-foot lengths of pipe, what is the total slope per length of pipe? 13. Is a meter longer or shorter than a yard? Test Your Knowledge Answer the following questions using the information provided in this chapter. 1. On a standard 6′ folding rule, the dimensions are labeled in inches beginning with 1 and ending at 72. Give the equivalent inch dimen- sions for the following dimensions in feet: A. 1′ B. 2′ C. 3′ D. 4′ E. 5′ F. 6′ 2. Convert the following dimensions given in feet and inches to their equivalent in inches: A. 2′-3″ B. 1′-6″ C. 4′-6″ D. 6′-3″ E. 12′-2″ F. 3′-9″ 3. Convert the following dimensions given in inches to their equivalent in feet and inches: A. 17″ B. 43″ C. 54½″ D. 92⅜″ E. 35½″ F. 23″ 4. Add the following pairs of numbers: A. 18½ + 1½ B. 6¼ + 1½ C. 10½ + 1¼ D. 18¾ + 1½ E. 12⅛ + ¾ 5. Subtract the following pairs of numbers: A. 10½ – 1½ B. 8¾ – 1½ C. 12⅜ – ¾ D. 16⅛ – 1½ E. 9¼ – 13⁄16 84 Section 1 Introduction to Plumbing Copyright Goodheart-Willcox Co., Inc.