Solid Geometry

Cover Solid Geometry
Solid Geometry
Herbert E Herbert Edwin Hawkes
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465 Hence area AY=AR . PH, area, BR=BS. HL, Why?
areaCS = CU ML.
Adding, area (/I Y+BR+CS-\ )=AR(PH+HL+LM-{ ), or lateral area of A -X = perimeter of H-0 x AR. 458 487. Corollary. The lateral area of a right prism is equal to the product of its altitude and the perimeter of its base.
QUERY. If the shape of a prism is varied by moving the upper base about in its plane while the lower base remains fixed in position, does the volume of the prism vary ? Does the lateral area vary ?
EXERCISES In the
... following exercises, h represents the altitude, n the num- ber of sides of the base, b one side of the base, B the area of the base, V the volume, S the lateral area, and T the total area, of a prism.
26. Given V= 50, B= 25. Find h.
27. Given h = 8j, B=6. Find V. In Exercises 28-35 the prism is regular.
28. Given h = 12, b = 3, n = 3. Find S.
29. Given h = 10, b = 4, n = 4. Find V.
30. Given h 6f, S= 80, n = 4. Find V.
31. Given V= 56, 5 = 14. Find h.
32. Given V= 300, n = 3, h = 20. Find b.
33.


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