The following proof derives the formula for the volume, V, of a square pyramid, with base area B and height h. The reason for step 5 is missing. Statement V = ¹8³ V = ¹8² (S) v=S² (S) V = B(S) V = Bh Which of the following statements is the best reason for step 5? A Step 1 2 3 4 5 B Reason Six congruent pyramids form a cube. Product rule for exponents: S³ S². S is equivalent to 12 Substitution of B = S2, where B is the area of the base of the pyramid. Substitution of h=S, where the height, h, of the pyramid is half the length of edge S. Substitution of h=S, where the length of edge S is half the height, h, of the pyramid, Substitution of B= 2S, where the length of edge S is half the area of the base of the pyramid B.
The following proof derives the formula for the volume, V, of a square pyramid, with base area B and height h. The reason for step 5 is missing. Statement V = ¹8³ V = ¹8² (S) v=S² (S) V = B(S) V = Bh Which of the following statements is the best reason for step 5? A Step 1 2 3 4 5 B Reason Six congruent pyramids form a cube. Product rule for exponents: S³ S². S is equivalent to 12 Substitution of B = S2, where B is the area of the base of the pyramid. Substitution of h=S, where the height, h, of the pyramid is half the length of edge S. Substitution of h=S, where the length of edge S is half the height, h, of the pyramid, Substitution of B= 2S, where the length of edge S is half the area of the base of the pyramid B.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:S
The following proof derives the formula for the volume, V, of a square pyramid, with base area B and height h. The reason for step 5 is missing.
Which of the following statements is the best reason for step 5?
B
Step
1
2
3
4
5
C
Statement
V = ¹8³
V =
V =
V =
V =
D
S² (S)
S² (S)
B(S)
Bh
Reason
A Substitution of h= S, where the height, h, of the pyramid is half the length of edge S.
Six congruent pyramids form a cube.
Product rule for exponents: S³ S² S
=
is equivalent to 1
6
3
2
Substitution of B = S2, where B is the area of the base of the pyramid.
Substitution of h = S, where the length of edge S is half the height, h, of the pyramid.
.
Substitution of B= 2S, where the length of edge S is half the area of the base of the pyramid B.
Substitution of B= 2S, where the area of the base of the pyramid, B, is half the length of edge S
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