The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure. Scale factor: 2:5

Surface area: 80

volume: 352

Surface area: ?

volume: ?

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.