Question

The scale factor between two similar figures is given. The surface area and volume of the smaller figure are giving. Find the surface area and volume of the larger figure, Please

Answer 1

In order to determine the surface area and volume of the larger figure based on the scale factor, here are the steps:

1. For surface area, first, we simply get the square of the scale factor 6.

`6^2=36`

2. Then, multiply this by the surface area of the smaller figure.

`7mi^2*36=252mi^2`

Hence, the surface area of the larger figure is 252 mi².

On the other hand, for volume, we get the cube of the scale factor 6 then multiply this by the volume of the smaller figure.

`6^3=216`
`20mi^3*216=4,320mi^3`

Hence, the volume of the larger figure is 4,320 mi³.