Question

What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

Answer 1

Answer:Scale factor = 4/9

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Explanation:

Answer 2

Scale factor =
`(4)/(9)`

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Explanation:

Volume ratio =
`\frac{\text{volume of small prism}}{\text{Volume of large prism}}`

=
`(128)/(1458)`

=
`(64)/(729)`

= 64 : 729

Scale factor =
`\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}`

=
`\sqrt[3]{(64)/(729)}`

=
`(4)/(9)`

Perimeter ratio = Scale factor

=
`(4)/(9)`

= 4 : 9

Surface area ratio = (Scale factor)²

=
`((4)/(9))^(2)`

=
`(16)/(81)`

= 16 : 81