 | Beriah Stevens - 1822 - Liczba stron: 436
...figure's base, is called the perpendicular altitude. To find the solid content thereof, this is the RDLE. Multiply the area of the base by one third of the perpendicular altitude and the product will be the solid content. NB Every pyramid is equal to i of its circumscribing... | |
 | Nathaniel Bowditch - 1826 - Liczba stron: 732
...twice, from the thickness 8, will reach to 4.5, or 4¿, which is the number of stones sought. PROBLE3I X. To find the solidity of any Pyramid or Cone. RULE....side of which is 4 feet, and the perpendicular height 6 feet ; it is required to determine the solidity ? The area of the base is 4 x 4=16 square feet, this... | |
 | Nathaniel Bowditch - 1826 - Liczba stron: 764
...8, will reach to 4.5, or 41, which is the number of stones sought. PROBLEM X. To fini the solidily of any Pyramid or Cone. RULE. Multiply the area of...Pyramid has a square base, the side of which is 4 feel, and the perpendicular height 6 feet ; it is required to determine the solidity ? The area of... | |
 | John Bonnycastle - 1829 - Liczba stron: 256
...the surface of the frustum? Ans. 144 feet. PROBLEM VIII. To fold the solidity of a cone or pyramid. RULE.* Multiply the area of the base by one third of the perpendicular height of the cone or pyramid, and the product will be the solidity. * Demon. Let sc=a, cs^=x, and A=area of the... | |
 | Edinburgh encyclopaedia - 1830 - Liczba stron: 856
...Therefore the solid content=268.803 X 8=2150.424 cubic inches. PROBLEM V. To find the solid content of any pyramid or cone. RULE. Multiply the area of the base by the height, and one third of the product is the solid content. This rule has been proved in GEOMETRY,... | |
 | Dudley Leavitt - 1830 - Liczba stron: 154
...xl=3.15"feet, the area of the end ; then 3.15x10=31.5 feet. Ans. 5. To find the solid content of a pyramid. Rule. Multiply the area of the base by one third of the height. Exam. Required the solidity of a square pyramid whose height is 30 feet, and each side of the... | |
 | Thomas Spofford - 1835 - Liczba stron: 84
...the area of one end by the leneth or height. PKOB. \39.-ToJlnd the solidity or cubic contents Of a PYRAMID, or CONE. RULE.— Multiply the area of the base by one third Of the length or height. PROB. 140.— To find the solidity or cubic contents of a C-PHERE, or GLOBE, RULS.—... | |
 | Calvin Tracy - 1840 - Liczba stron: 326
...content of such figures is £ as much as the content of a cylinder of the same length ; therefore, RULE. — Multiply the. area of the base by one third of the perpendicular height. - , , «•,.•. Ex. 1. What is the solid content of a cone 60 feet high,' 25 • '.' the base of... | |
 | Calvin Tracy - 1842 - Liczba stron: 306
...uniformly tapers till it comes to a point. It may be either round, square, or triangular. RULE—Multiply the area of the base by one third of the perpendicular height. Ex. 1. What is the solid content of a cone, 60 feet high, the base of which is 8 feet in diameter ?... | |
 | Scottish school-book assoc - 1845 - Liczba stron: 444
...the slant height, to the product add the area of the base, and the sum will be the surface. RULE II. Multiply the area of the base by one third of the perpendicular height of the pyramid, and the product will be the solidity. DEMONSTRATION. The sides of the pyramid are evidently triangles,... | |
| |
To find the solidity of a pyramid and of a cone. RULE. — Multiply the area of the base by one third of its altitude, and the product will be its solidity. 
