Inhaltsangabe
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 Excerpt: ...by 4 in. and whose height is 5 in. Suggestion.--It is evident that the triangular prism is equal to one half of a rectangular prism of the same dimensions. But the triangle is half of the rectangle, so the volume is half that of the rectangular prism. That is, the volume of a triangular prism equals the product of the area of its base and its height. 2. Find the volume of a triangular prism when the area of the base is 65 sq. in. and the height is 18 in. 3. Find the volume of a triangular prism when the area of the base is 216 sq. in. and the height 8 in. 4. The base of a prism is a right triangle of which the sides forming the right angle are 6 ft. and 8 ft. The altitude is 9 ft. Draw a diagram. Find the volume. 5. A glass prism has for its base a right triangle of which the sides forming the right angle are each 3 in. The altitude is 4£ in. Find the volume. 6. Charles made a V-shaped trough for feeding his pigs, by nailing one board to the edge of another, so that they were at right angles, and then nailing boards across the ends of these, as in the picture. The trough was 6 ft. long. Each end formed a right triangle, of which the sides forming the right angle were each 8 in. Allowing 7 gal. to a cubic foot, find how many gallons the trough would hold. 7. Water runs in a V-shaped trough at a velocity of 40 ft. per minute. A cross section of the stream is a right triangle of which the sides forming the right angle are each 6 in. How many gallons per minute does the trough deliver? (The water delivered per minute is a prism with altitude 40 ft.) The Volume and Surface of Any Prism Note.--All prisms discussed in this book are right prisms. the sides are rectangles, whatever the shape of the bases. Any prism may be divided into triangular prisms, as in t...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 Excerpt: ...by 4 in. and whose height is 5 in. Suggestion.--It is evident that the triangular prism is equal to one half of a rectangular prism of the same dimensions. But the triangle is half of the rectangle, so the volume is half that of the rectangular prism. That is, the volume of a triangular prism equals the product of the area of its base and its height. 2. Find the volume of a triangular prism when the area of the base is 65 sq. in. and the height is 18 in. 3. Find the volume of a triangular prism when the area of the base is 216 sq. in. and the height 8 in. 4. The base of a prism is a right triangle of which the sides forming the right angle are 6 ft. and 8 ft. The altitude is 9 ft. Draw a diagram. Find the volume. 5. A glass prism has for its base a right triangle of which the sides forming the right angle are each 3 in. The altitude is 4£ in. Find the volume. 6. Charles made a V-shaped trough for feeding his pigs, by nailing one board to the edge of another, so that they were at right angles, and then nailing boards across the ends of these, as in the picture. The trough was 6 ft. long. Each end formed a right triangle, of which the sides forming the right angle were each 8 in. Allowing 7 gal. to a cubic foot, find how many gallons the trough would hold. 7. Water runs in a V-shaped trough at a velocity of 40 ft. per minute. A cross section of the stream is a right triangle of which the sides forming the right angle are each 6 in. How many gallons per minute does the trough deliver? (The water delivered per minute is a prism with altitude 40 ft.) The Volume and Surface of Any Prism Note.--All prisms discussed in this book are right prisms. the sides are rectangles, whatever the shape of the bases. Any prism may be divided into triangular prisms, as in t...
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