Solids for which Volume = Area of base times Altitude
Solids in which V = Ab × h
This is a group of solids in which the volume is equal to the product of the area of the base and the altitude. Two types of solids belong to this group namely, prisms and cylinders.
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Solid Geometry
Solid Geometry (also known as Solid Mensuration) is the study of various solids. It is the study of the measure of volume, area, height, length, and many more. This subject is used extensively in the practice of engineering. The knowledge of this subject is a necessity to engineers in any project construction.
This subject will cover the following: Cube, Rectangular Parallelepiped, Prism, Cylinder, Cone, Frustums, Spheres, Solids of Revolution, Prismatoid, etcetera.
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Trapezoidal Strip of Land from a Triangular Lot
Problem
A strip of 640 m2 is sold from a triangular field whose sides are 96 m, 72 m, and 80 m. The strip is of uniform width h and has one of its sides parallel to the longest side of the field. Find the width of the strip.
A. 7.1 m
B. 8.1 m
C. 8.7 m
D. 7.7 m
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004 Components of a 3D force with given angles
Problem 004
Referring to Fig. 1.4, determine the angle between vector A and the y-axis.
A. 65.7°
B. 73.1°
C. 67.5°
D. 71.3°
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003 Components of a 3D force with given distances
Problem 003
Which of the following correctly defines the 500 N force that passes from A(4, 0, 3) to B(0, 6, 0)?
A. 256i - 384j + 192k N
B. -256i + 384j - 192k N
C. -384i + 192j - 256k N
D. 384i - 192j + 256k N
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