Question

Two figures have a similarity ratio of 5:8. If the volume of the smaller figure is 875 mm^3, what is thevolume of the larger figure in cubic millimeters? Solve and explain the process you used to solve theproblem

Answer 1

Let x be the volume of the bigger one

5 : 8 = 875 : x

`(5)/(8)=(875)/(x)`

cross-multiply

5x = 875(8)

5x = 7000

Divide both-side by 5

x= 1400

The volume of the larger figure is 1400 mm³