5. WHAT is the cube root of $4,604519 ? Answer, 4,39. 6. WHAT is the cube root of 2 ? Answer, 1,25 ༢ SUPPLEMENT to the Cube Hoot. 1. WHAT is a cube? QUESTIONS. 2. WHAT is understood by the cube root? 3. WHAT is it to extract the cube root ? 4. In the operation having found the first figure of the root, why is the cube of it subtracted from the period in which it was taken ? 5. War is the square of the quotient multiplied by 300 ? 6. WHr is the quotient multiplied by 30? 7. War do we add the triple square and the triple quotient together, and the sum of them call the divisor? 8. To find a subtrahend, why do we multiply the triple square by the last quotient figure? the square of the last quotient figure by the triple quotient ? Why do we cube the quotient figure? Why do these sums added, make the subtrahend? 9. How is the operation proved? EXERCISES IN THE CUBE ROOT. 1. Ir a bullet 6 inches diameter weigh 321b. what will a bullet of the same metal weigh, whose diameter is 3 inches? Answer, 4 lb. NOTE. "THE solid contents of similar figures are in proportion to each other, as the cubes of their similar sides, or diameters." 2. WHAT is the side of a cubical mound equal to one 288 feet long, 216 broad, and 48 high? Ans. 144 feet. 3. THERE is a cubical vessel, whose side is 2 feet; I demand the side of a vessel, which shall contain three times as much? nearly. Ans. 2 feet 10 inches, and NOTE. CUBE the given side, multiply it by the given proportion, and the cube root of the product will be the side sought. § 5. Fellowship. FELLOWSHIP is a rule by which merchants, and others, trading in partnership, compute their particular shares of the gain or loss, in proportion to their stock and the time of its continuance in trade. It is of two kinds, single and double. Single Fellowship, Is when the stocks are employed equal times. RULE. As the whole sum of the stocks is to the whole gain or loss, so is each man's particular stock to his particular share of the gain or loss. PROOF. ADD all the shares of the gain or loss together; and, if the work be right, the sum will be equal to the whole gain or loss. EXAMPLES. ་ 1. Two merchants, A and B, make a joint stock of 200 dollars: A puts in 75 dollars, and B 125 dollars; they trade and gain 50 dollars. What is each man's share of the gain? Dolls. Dolls. Dolls. As 200: 50 :: 75 75 250 350 D. cts OPERATION. As 200: 50 :: 125 125 250 100 50 2. DIVIDE the number 360 into 4 such parts, which shall be to each other as 3, 4, 5, and 6. |