Prism a is similar to prism b. the volume of prism a is 2720 cm³. what is the volume of prism b?
21,760 cm³, 1360 cm³, 680 cm³, 340 cm³

Solution:

Given side length of square prism A is 8cm

side lengths of square prism B is 4 cm

Also given, The volume of prism A is 2720 cm³

Scale factor of similarity of side lengths = prism A/prism B = 8/4 =2

The scale factor of similarity of volume = 2³ =8

The volume of Prism A = 8(Volume of prism B)

2720 = 8( volume of prism B )

Volume of prism B = 2720/8 = 340 cm³

Prism a is similar to prism b. the volume of prism a is 2720 cm³. what is the volume of prism b?
21,760 cm³, 1360 cm³, 680 cm³, 340 cm³

Summary:

Prism A is similar to prism B, the volume of prism a is 2720 cm³, then the volume of prism B is 340 cm³.