Need help with question A,B,C 31. Mastery Objective 31:Explain why V = Bh for both right and oblique prisms, includingapplication of Cavalieri's Principle; explain why Cavalieri's Principle does not apply tosurface area.(a) Explain why the volume V of of the right prism shown below is V = Bh, where B is the area of abase and h is the height of the prism. Be sure to keep units throughout your explanation andconclusion, and be sure to address the operation of multiplication.right prismheight is alateral edge(b) Explain why the volume of the oblique prism below, which has the same base and height as theprevious right prism above, is also V = Bh. Make reference to a principle discussed in class, andexplain why that principle is true.oblique prismheight is analtitude outsidethe prism(c) Explain that, while the two prisms above have the same volume, they do not have the same area.Why is this? Be specific.

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(a) Explain why the volume V of of the right prism shown below is V = Bh, where B is the area of a base and h is the height of the prism. Be sure to keep units throughout your explanation and conclusion, and be sure to address the operation of multiplication. %3D right prism height is a lateral edge

(a) Explain why the volume V of of the right prism shown below is V = Bh, where B is the area of a base and h is the height of the prism. Be sure to keep units throughout your explanation and conclusion, and be sure to address the operation of multiplication. %3D right prism height is a lateral edge

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Need help with question A,B,C

31. Mastery Objective 31:Explain why V = Bh for both right and oblique prisms, including
application of Cavalieri's Principle; explain why Cavalieri's Principle does not apply to
surface area.
(a) Explain why the volume V of of the right prism shown below is V = Bh, where B is the area of a
base and h is the height of the prism. Be sure to keep units throughout your explanation and
conclusion, and be sure to address the operation of multiplication.
right prism
height is a
lateral edge
(b) Explain why the volume of the oblique prism below, which has the same base and height as the
previous right prism above, is also V = Bh. Make reference to a principle discussed in class, and
explain why that principle is true.
oblique prism
height is an
altitude outside
the prism
(c) Explain that, while the two prisms above have the same volume, they do not have the same area.
Why is this? Be specific.

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