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.
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.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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Transcribed Image Text: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 cm2. Find the volume of a cube whose surface area is equal to the surface
area of the rectangular solid.
Transcribed Image Text:HOMEWORK 13:
1. For the box shown below, determine the value of x if the total volume is 94 cm³.
|x + 2
2. A storage shed is in the shape of a pentagonal prism. The front represents one of its
two pentagonal bases. What is the storage capacity (volume) of its interior?
10
8'
3. A solid concrete porch consists of 3 steps and a landing. The steps have a tread of
11 in, a rise of 7 in, and a length of 7 ft; the landing is 6 ft by 7 ft. How much
material was used in its construction?
-11"
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,LBF0,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.
15
ERS
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