Items related to Arithmetic by grades, for inductive teaching, drilling...
Synopsis
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1894 edition. Excerpt: ...cube 9 in. long? 10. If a conical stack of hay 8 ft. high contains 2 tons, what is the height of a similar stack which contains 8 tons? 11. If a conical bin 4 ft. long contains 12 f bu. of wheat, how much will a bill of the same shape hold that is 9 ft. long? How long will a cubical bin have to be to contain 200 bushels? 12. The volumes of two similar cones are 216 cu. ft. and 1000 cu. ft. If the height of the smaller cone is 8 ft., what is the height of the larger? 13. I have a cistern in the form of a cylinder whose diameter is 3 ft. and whose height is 4-i-ft. What must be the dimensions of a cistern of the same shape which will hold 3 times as much? 1. A stack of hay in the form of a cone is 12 ft. high and 32 ft. in circumference at the base. What is the diameter? What is the slant height? How far from the top (slant height) must hay be taken to leave half of the stack? to leave f of the stack? 2. A large pine tree casts a shadow 48 ft. long. A post 10 ft. high at the same time casts a shadow 6 ft. in length. (a) How high is the tree? (b) What are the cubic contents of the trunk of the tree if its average circumference is 15 ft.? (c) How many cords in the trunk if 25% is allowed for waste? 3. Reckoning the diameter of the earth as 8000 miles, what is the area of its surface? What is the surface of the sun if its diameter is 113 times as great as that of the earth? 4. The diameter of one globe is 8 in.; that of another is 2 ft. Tine surface of the second globe is how many times as great as that of the first? The volume is how many times as great? 5. The diameter of the moon is.274 as great as that of the earth, and the diameter of the sun is 113 times as great. Compare the size of these three bodies. 6. Find the edge of a cube £...
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