at $1.10 a bunch of 250, needed to cover the four sides of the deck roof (Fig. 2, p. 203). Find the cost of enough tin to cover the 12' x 16' flat deck at 15¢ a 20" 28" sheet, the long sides of the sheets being laid parallel to the long side of the deck, and allowing 10% loss for joints and overlap at edges. 14. When shingles are laid 4" to the weather, 1000 shingles are estimated to cover a square (of roofing). Find the number of shingles, laid 4′′ to the weather, needed to cover a roof which, with gables, is made up of the following parts: 15. Find the cost of the shingles of Prob. 14 @ 90c a bunch of 250. 16. Ten years after building this house a new roof was put on it. It cost $1.25 per M. to remove the old shingles, $6 per M. for the new ones, and $2.75 per M. for the labor of putting on the shingles. How much did it cost to remove the old shingles and to re-roof with new shingles? 17. If it takes 14 bricks per square foot of outside surface to lay a 2-brick wall, how many FIGURE 1 bricks will be needed to lay the side your own measurements or from dimensions obtained from an architect or builder. 19. The walls of a square brick house, 24' ×24′, start 6' below the ground and rise 24' above the ground to the eaves. From the bottom to 12′ above the ground the walls are 3 bricks thick and from this line to the eaves they are 2 bricks thick. Find the cost of laying the bricks of these walls @ $4.25 per M. NOTE: No allowance for openings of any kind is made in figuring the cost of laying bricks in such walls, and outside dimensions are used, thus counting corners twice. 20. From the number of bricks found in problem 19 deduct for the following openings: DOWNSTAIRS 1 door 3' 6" X 6' 9" 1 door 3' X 6′ 6′′ 2 windows 5′ × 6′ 6′′ 9 windows 3′ × 6′ UPSTAIRS 2 doors 3′ 6′′ × 6′ 6′′ 1 window 5' X 6' 6" 12 windows 3' X 6' and 1400 bricks for double counting of corners, and find 22. Draw the development of the roof and tower to a scale 1" to 1', as shown in the figure. 23. From the eaves to the ground the towers are octagonal prisms, built of brick, all faces being rectangles 6′ ×40′, and each prism has four faces exposed to the weather. How many square feet of brick surface are in the 8 exposed faces, not allowing for windows? Find the cost of laying the walls two bricks thick, @ $6.25 per M. 24. Deduct for 16 windows, each 3′ 6′′ ×5′ 8′′, and for 4 windows 1' 6" X3', and find the number of bricks in the two layers, and their cost @ $14 per M. $115. Land Measure. Review $29, pp. 39, 40, and 41. Since 1785 the law has required land to be marked out or surveyed in divisions of the form of squares and rectangles. In the western states the land has been surveyed under this law. To mark out the largest squares, north and south lines, called meridians, are first run 24 mi. apart and marked with corner-stones, or by trees, or other permanent objects. East and west lines, called base lines, are then run at right angles to these meridians at distances 24 mi. apart. This would divide the land up into 24-mi. squares were it not for the convergence of the meridians toward the poles of the earth. Notice this on a map in your Geography and on the map on p. 198. Each 24-mi. tract is then divided into 16 nearly equal squares, called townships, by running north and south, and east and west lines through the quarter points of the sides of the large tract. 1. How long is a township? How wide? How many square miles does it contain? Certain meridians, called principal meridians, are run with great care, and these principal meridians govern the surveys of lands lying along them for considerable distances both toward the east and toward the west. The tiers, or rows, of townships running north and south along the principal meridians are called ranges. The first tier on the east is called range No. 1 east, and is written R1E; the second range is No. 2 east, written R2E, and so on. 2. Point out on the drawing, Fig. 1, R1W; R2W; R3W; R2E; R4W. Certain base lines are run with great care and Meridian R4W R3W R2W BRIW RIE R2E Standard Line 33 222 2 Principal Meridian Base Line FIGURE 1 4 3 3 The rows of town are called standard base lines. ships running east and west are numbered with reference to these standard base lines. A township in the first row north of a base line is township No. 1 north, and is written TIN; one in the second row south is called township No. 2 south, written T2S, and so on. 3. Interpret the following symbols and point out on the drawing, Fig. 1, the townships indicated: T3N; T4N; TIS; T2N. A township is identified by giving its number and range from some standard base and principal meridian. Point out these townships on the drawing, Fig. 1: TIN, R2W; T3N, R1W; T4N, R2E; T1S, R3W. The law also requires townships to be subdivided quarters (see sections 13 and 26), and quarter-quarters (see section 29). 4. Referring to Fig. 1, read and write the descriptions of the divisions of section 16; of section 26; of section 13; of section 29. Whatever deviations there may be from exactly 640 A., in the sections of any township, due to convergence of meridians or other causes, are required by law to be added to, or subtracted from, the north and west rows of half-sections. Standard or Range Line |