Question

Solid A is similar to Solid B with the given scale factor of A to B. The surface area and volume of Solid A are given. Find the surface area and volume of Solid B.
Scale factor of 1:4
S = 62 cm squared
V = 30 cm cubed

Answer 1

www.lightandmatter.com/html_books/lm/ch01/ch01.html
is the base of your question! ^^

Answer 2

\[(\frac{1}{4})^2 = \frac{62}{A}\]\[(\frac{1}{4})^3 = \frac{30}{V}\]

Answer 3

after this do i just solve it?

Answer 4

Yes, for the first one:
(1/4)^2 = 62/B as written above
1/16 = 62/B
B = 16*62 = 992 square cm

Work on the next equation while I find the statement of the theorem used to set up these equations.

Answer 5

(1/4)^3 = 30/V
1/64 = 30/V
V = 64 * 30
V = 1920 cubic cm

Answer 6

thank you Directrix :)