The two solids below are similar, and the ratio between the lengths of their edges is 4:5. what is the ratio of their surface ar

Question

4 years ago

13

eas?
a.16:25
b.16:20
c.5:4
d.64:125

2 answers:

Ratling [72] · Answer 1 · 2021-12-22T04:34:55+03:00

6 0

Ratio of the areas is 4^2: 5^2 = 16:25 (answer).

dimaraw [331] · Answer 2 · 2021-12-22T06:59:12+03:00

Solution:

Keep in Mind, when two shapes or polygons are similar , the ratio of their areas is equal to square of their corresponding sides or edges.

As given, Ratio of the edges of two solids = $\frac{4}{5}$

Ratio of their Surface areas

= ( Ratio of the edges of two solids)²= $(\frac{4}{5})^2$

= $\frac{16}{25}$

Option A: 16: 25 is true.