(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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
right prism
height is a
lateral edge
(b) Explain why the volume of the oblique prism below, which has
previous right prism above, is also V = Bh. Make reference to a principle discussed in class, and
explain why that principle is true.
same base and height as the
oblique prism
height is an
altitude outside
the prism
O Explain that, while the two prisms above have the same volume, they do not have the same area.
Why is this? Be specific.
Transcribed Image Text:(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 previous right prism above, is also V = Bh. Make reference to a principle discussed in class, and explain why that principle is true. same base and height as the oblique prism height is an altitude outside the prism O 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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