4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in. (a) Find the number of degrees in the angles LAFB, LBFO, LAFO, LBOF, AOF, and ZOFC. (b) Find the area of each of the triangles AABO, ABOF, and AAOF. (c) Find the perpendicular distance from B to the plane AOF. E 15 D. 20

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in.
(a) Find the number of degrees in the angles LAFB,ZBF0,LAF0, LBOF, AOF, and
ZOFC.
(b) Find the area of each of the triangles AABO,ABOF, and AAOF.
(c) Find the perpendicular distance from B to the plane A0F.
E
15*
20
5. Find the volume of water in a swimming pool with vertical ends and sides. The length
measured at the water line is 50 ft and the breadth is 20 ft. The bottom of the
swimming pool is a plane sloping gradually downward so that the depth of the
water at one end is 4ft and at the other end is 8 ft.
6. The dimensions of a rectangular solid are in the ratio 1:3: 12 and its volume is
562.5 cm?. Find the volume of a cube whose surface area is equal to the surface
area of the rectangular solid.
Transcribed Image Text:4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in. (a) Find the number of degrees in the angles LAFB,ZBF0,LAF0, LBOF, AOF, and ZOFC. (b) Find the area of each of the triangles AABO,ABOF, and AAOF. (c) Find the perpendicular distance from B to the plane A0F. E 15* 20 5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at the water line is 50 ft and the breadth is 20 ft. The bottom of the swimming pool is a plane sloping gradually downward so that the depth of the water at one end is 4ft and at the other end is 8 ft. 6. The dimensions of a rectangular solid are in the ratio 1:3: 12 and its volume is 562.5 cm?. Find the volume of a cube whose surface area is equal to the surface area of the rectangular solid.
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