oopsydaisy
contestada

The two solids are similar and the ratio between the lengths of their edges is 2:9. What is the ratio of their surface areas?

Can you also help me with the 2nd attachment, the question is on the picture?

The two solids are similar and the ratio between the lengths of their edges is 29 What is the ratio of their surface areas Can you also help me with the 2nd att class=
The two solids are similar and the ratio between the lengths of their edges is 29 What is the ratio of their surface areas Can you also help me with the 2nd att class=

Respuesta :

caylus
Hello,

During a dilatation of ratio k (length ratio),
area are multiplied by k² and volume bu k^3.

A)
(2/9)²=4/81 answser A

B) (3/5)²=9/25 Answer D

calculista

we know that

If two solids are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

In this problem

[tex]scale\ factor= \frac{2}{9}[/tex]

The ratio of their surface areas is equal to the scale factor squared

[tex]scale\ factor^{2}=( \frac{2}{9})^{2} =\frac{4}{81}[/tex]

therefore

the answer is the option A

[tex]\frac{4}{81}[/tex]

Part 2)

In this problem

[tex]scale\ factor= \frac{3}{5}[/tex]

The ratio of their surface areas is equal to the scale factor squared

[tex]scale\ factor^{2}=( \frac{3}{5})^{2} =\frac{9}{25}[/tex]

therefore

the answer is the option D

[tex]\frac{9}{25}[/tex]

Otras preguntas