CUBIC MEASURE. A cube may be illustrated by a solid block, having 6 equal sides. Let us suppose we have before us a num ber of small blocks, representing cubic inches. If we ay 144 of these blocks together upon the table, they will cover a square foot. Then, if we cover this layer of blocks with another layer, and thus continue till we have piled up 12 layers, the pile will contain 12 times 144 cubic inches, or 1 cubic foot. Therefore, to find the cubical contents of any thing, multiply its length, and breadth, and depth together. 53. How many cubic inches are there in a brick, that is 8 inches long, 4 inches wide, and 2 inches thick? 54. How many cubic feet in a box, that is 25 inches ong, 20 inches broad, and 11 inches deep? 55. How many cubic inches in 1 ton of hewn timber? 56. How many cubic feet in a pile of wood 15 feet long, 4 feet wide, and 5 feet high? How many feet of wood? How many cords? 57. How many cubic ieet in a cord of wood? TIME. 58. How many seconds are there in a common year How many in a leap year? How many in a solar year? 59. How many minutes are there in 57 days? 60. If your pulse beat 73 times in a minute, how many times will they beat in the month of January? 61. How many years and days, from the 1st day of January, 1830, to the 1st day of October, 1834 ? Questions to be answered Orally. (1) What is meant by reduction ? (2) How do you reduce shillings to pence? (3) How do you reduce pence to shillings? (4) How do you reduce Avoirdupois ounces to pounds?— Why? (5) How do you reduce pounds to ounces? Why? (6) How do you reduce yards to nails? (7) How do you reduce nails to yards? (8) Recite the general rule for reduction. SECTION 9 COMPOUND ADDITION. ENGLISH MONEY. 1. What is the whole sum of £13 7s. 10d. 2qr., £4 12s. Od. 1qr., £60 Os. 11d. 3qr., 19s. Od. 2qr., £116, £7 10s. 10d., 1s. Sd. 3qr., and £76? Write the num bers so that each denomination shall stand in a separate column. Add the numbers of the lowest denomination together, and divide their sum by that number which is required of this denomination to make 1 of the next higher: write the remainder under the column added, and carry the quotient to the next column. Thus proceed with every denomination. 2. What is the sum of £4 18s. 9d., £100 7s. Od. 1qr., 16s. 4d., 3s. 6d. 2qr., £20, and £9 7s. 4d. ? 3. What is the sum of 11s. Od. 3qr., £33 2s. 6d., 8s. 7d. 1qr., £450, £9 17s. 8d. 3qr., and £37 9s.? 4. A man in London paid for a hat, £1 18s. 6d.; for a coat, £9 8s. 4d., for a vest, £1 10s.; for pantaloons, £3; for boots, £1 2s. What did the suit cost? TROY WEIGHT. 5. Add together these quantities of silver. 4lb. 9oz 16dwt., 10oz. 1dwt. 22gr., and 3lb. 4oz. Odwt. 6gr. 6. Add together 11oz. 15dwt. 18gr., 2lb. 10oz. 18dwt. 23gr, 9lb. Ooz. 17dwt. 3gr., and 5oz. 12dwt. CUBIC MEASURE. A cube may be illustrated by a solid block, having 6 equal sides. Let us suppose we have before us a num. ber of small blocks, representing cubic inches. If we ay 144 of these blocks together upon the table, they will cover a square foot. Then, if we cover this layer of blocks with another layer, and thus continue till we have piled up 12 layers, the pile will contain 12 times 144 cubic inches, or 1 cubic foot. Therefore, to find the cubical contents of any thing, multiply its length, and breadth, and depth together. 53. How many cubic inches are there in a brick, that is 8 inches long, 4 inches wide, and 2 inches thick? 54. How many cubic feet in a box, that is 25 inches ong, 20 inches broad, and 11 inches deep? 55. How many cubic inches in 1 ton of hewn timber? 56. How many cubic feet in a pile of wood 15 feet long, 4 feet wide, and 5 feet high? How many feet of wood? How many cords? 57. How many cubic ieet in a cord of wood? TIME. 58. How many seconds are there in a common year ? How many in a leap year? How many in a solar year? 59. How many minutes are there in 57 days? 60. If your pulse beat 73 times in a minute, how many times will they beat in the month of January? 61. How many years and days, from the 1st day of January, 1830, to the 1st day of October, 1834 ? Questions to be answered Orally. (1) What is meant by reduction? (2) How do you reduce shillings to pence? (3) How do you reduce pence to shillings (4) How do you reduce Avoirdupois ounces to pounds? Why? (5) How do you reduce pounds to ounces? Why? (6) How do you reduce yards to nails? (7) How do i you reduce nails to yards? (8) Recite the general rule for reduction. SECTION 9 COMPOUND ADDITION. ENGLISH MONEY. 1. What is the whole sum of £13 7s. 10d. 2qr., £4 12s. Od. 1qr., £60 0s. 11d. 3qr., 19s. Od. 2qr., £116, £7 10s. 10d., 1s. 8d. 3qr., and £76? 2 0 1 £. S. d. qr. 13 7 10 4 12 60 0 11 3 19 0 2 116 0 0 0 The sum of the column of farthings is 11; equal to 2d. 3qr. We write the 3qr. and add the 2d. to the column of pence. The sum of the pence is 41; equal to 3s. 5d. We write the 5d. and add the 3s. to the column of shillings. The sum of the shillings is 52; equal to £2 12s. We write the 12s. and add the £2 to the column of pounds. RULE FOR COMPOUND ADDITION. Write the numbers so that each denomination shall stand in a separate column. Add the numbers of the lowest denomination together, and divide their sum by that number which is required of this denomination to make 1 of the next higher: write the remainder under the column added, and carry the quotient to the next column. Thus proceed with every denomination. 2. What is the sum of £4 18s. 9d., £100 7s. Od. 1qr., 16s. 4d., 3s. 6d. 2qr., £20, and £9 7s. 4d.? 3. What is the sum of 11s. Od. 3qr., £33 2s. 6d., 8s. 7d. 1qr., £450, £9 17s. 8d. 3qr., and £37 9s.? 4. A man in London paid for a hat, £1 18s. 6d.; for a coat, £9 8s. 4d., for a vest, £1 10s.; for pantaloons, £3; for boots, £1 2s. What did the suit cost? TROY WEIGHT. 5. Add together these quantities of silver. 4lb. 9oz "16dwt., 10oz. 1dwt. 22gr., and 3lb. 4oz. Odwt. 6gr. 6. Add together 11oz. 15dwt. 18gr., 2lb. 10oz. 18dwt. 23gr, 9lb. Ooz. 17dwt. 3gr., and 5oz. 12dwt. AVOIRDUPOIS WEIGHT. 7. Add together 14T. 10cwt. 2qr. 23lb. 4oz., 27T 4cwt. 2qr. 24 lb. 14oz., and 3qr. Olb. 15oz. 11dr. 8. Add together 16cwt. 1qr. 11lb. 6oz. 16cwt. 2qr 20lb., 5T. Ocwt. 3qr. 5 lb. 13oz. 2dr., and 2T. APOTHECARIES' WEIGHT. 9 What is the weight of a mixture containing 5b 103 53 19 8gr., 63 29, 53 19 18gr., and 2 43? 10. What is the weight of a mixture containing 1 33 13 29, 73 53 19 15gr., and 4 b 03 63? CLOTH MEASURE. 11. Add together 19yd. 2qr. 3na., 14yd. 2qr. 1na., 32yd. Oqr. Ina., 2qr. 2na., and 57yd. 3qr. 2na. 12. Add together 15E.e. 4qr. 2na., 6E.e. 3qr. 1na, 45E.e. 3qr. 3na., 230E.e., and 4E.e. 4qr. DRY MEASURE. 13. Add together 25bu. 2pk. 5qt., 240bu. Opk 6qt.. 316bu. 3pk. 7qt. 1pt., and 650bu. 2pk. 5qt. 14. Add together 635bu. Opk. 3qt., 247bu. 3pk. Oqt 1pt., 2bu. 3pk. 6qt., 56bu., and 31bu. Opk 2qt. WINE MEASURE. 15. How many hogsheads are 12hhd. 42gal. 3qt. 1pt., 548hhd. 62gal. 3qt., and Shhd. 9gal. 1qt.? 16. How many tons are 1T. 1p. 116gal. 3qt., 1p 48gal., 5T. 1p. 86gal. 3qt., 102gal., and 4T.? BEER MEASURE. 17. Add together 5bl. 1kil. 1fir. Sgal. 3qt., 1fir. 5gal 2qt. 1pt., 16bl. Okil. Ofir. 4gal., and 25bl. 1kil. 18. Add together 1fir. 7gal. 3qt., 24bl. Okil. 1fir 6gal. 2qt. 1pt., and 20bl. 1kil. 1fir. 4gal. LONG MEASURE. 19. How many yards are 45yd. 2ft. 11in., 13yd. Oft 9in., 1ft. 10in., and 20yd. 1ft. 8in. 2b.c.? 20. How many miles are 10m. Ofur. 36rd., 58m. 7fur. 13rd., 38rd., 16m. 4fur. 21rd., and 6fur. ? SQUARE MEASURE. 21. How many yards are 36yd. 7ft. 126in., 3yd. 6ft., 130in, 71yd. 5ft. 140in., and 10yd. 4ft. 21in. ? 22. How many acres are 34A. 3R. 32rd., 86A. OR 21rd., 381A. 2R., and 46A. 1R. 25rd ́? |