Question

What is the scale factor of a cube with a volume of 343m^3 to a cube with a volume of 5,832m^3?

A. 324:49
B. 49:324
C: 18:7
D. 7:18

I think it is B.

Answer 1

@jdoe0001 can you help me??

Answer 2

\(\bf \large{
\cfrac{{\color{brown}{ volume}}}{{\color{blue}{ volume}}}=\cfrac{{\color{brown}{ side}}^3}{{\color{blue}{ side}}^3}\implies
\cfrac{\sqrt[3]{{\color{brown}{ volume}}}}{\sqrt[3]{{\color{blue}{ volume}}}}=\cfrac{{\color{brown}{ side}}}{{\color{blue}{ side}}}
\\ \quad \\ \quad \\


\cfrac{{\color{brown}{ 343}}}{{\color{blue}{ 5832}}}=\cfrac{{\color{brown}{ side}}^3}{{\color{blue}{ side}}^3}\implies \cfrac{\sqrt[3]{{\color{brown}{ 343}}}}{\sqrt[3]{{\color{blue}{ 5832}}}}=\cfrac{{\color{brown}{ side}}}{{\color{blue}{ side}}}\impliedby ratio
}\)

Answer 3

18^3/74^3

Answer 4

is that what you got?

Answer 5

yes

Answer 6

well. the ratio will just be two single values

Answer 7

what say does \(\large { \bf \cfrac{\sqrt[3]{{\color{brown}{ 343}}}}{\sqrt[3]{{\color{blue}{ 5832}}}} }\) give you?

Answer 8

hint: use your calculator

Answer 9

7/18

Answer 10

It';s D

Answer 11

then that's the ratio :)

Answer 12

Can you help me with a few more??

Answer 13

I'll be dashing in a few secs

Answer 14

I only have 3

Answer 15

Just those three