(a)
The sketch and label of a rectangular solid and the pyramid formed by the angular surface edges.
Answer to Problem 12A
The sketch and label of a rectangular solid and the pyramid formed by the angular surface edges is
Explanation of Solution
Consider the angle
There are mainly three types of views such as top view, front view and right side view. The rectangular solid and pyramid is formed using the trihedral method. In this method all the planes are perpendicular to each other and eight right triangles are formed. The object is placed in these right angles to take the projection.
The steps of the sketching of the rectangular solid and the pyramid formed by the surface to be cut and the extended sides of the block are following:
1.Draw a rectangular solid surface block.
2.Draw triangles on the extended surface of the rectangular solid surface block.
3.Cut the extended surface of the rectangular solid surface block as per the drawn triangle on the surface of the block to form a pyramid on the extended sides of the block.
4.The sketch of a pyramid formed on surface of the extended sides of the rectangular solid surface block.
5.Identify the angle
Figure-(1)
(b)
The angle
Answer to Problem 12A
The angle
Explanation of Solution
Write the expression for the angle
Here, the length of the side
Write the expression for the angle
Here, the length of the side
Write the expression for the angle
Here, the length of the side
Calculation:
Consider the length of the side
Substitute
Substitute
The length of the side
Substitute
Conclusion:
The angle
(c)
The angle
Answer to Problem 12A
The angle
Explanation of Solution
Write the expression for the angle
Write the expression for the angle
Calculation:
Consider the length of the side
Substitute
Substitute
Conclusion:
The angle
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Chapter 78 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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